diff --git a/src/Magnum/Implementation/vertexFormatMapping.hpp b/src/Magnum/Implementation/vertexFormatMapping.hpp
index 2b2dc2b45..4832bcb0c 100644
--- a/src/Magnum/Implementation/vertexFormatMapping.hpp
+++ b/src/Magnum/Implementation/vertexFormatMapping.hpp
@@ -77,4 +77,61 @@ _c(Vector4s)
 _c(Vector4sNormalized)
 _c(Vector4ui)
 _c(Vector4i)
+_c(Matrix2x2)
+_c(Matrix2x2h)
+_c(Matrix2x2d)
+_c(Matrix2x2bNormalized)
+_c(Matrix2x2sNormalized)
+_c(Matrix2x3)
+_c(Matrix2x3h)
+_c(Matrix2x3d)
+_c(Matrix2x3bNormalized)
+_c(Matrix2x3sNormalized)
+_c(Matrix2x4)
+_c(Matrix2x4h)
+_c(Matrix2x4d)
+_c(Matrix2x4bNormalized)
+_c(Matrix2x4sNormalized)
+_c(Matrix2x2bNormalizedAligned)
+_c(Matrix2x3hAligned)
+_c(Matrix2x3bNormalizedAligned)
+_c(Matrix2x3sNormalizedAligned)
+_c(Matrix3x2)
+_c(Matrix3x2h)
+_c(Matrix3x2d)
+_c(Matrix3x2bNormalized)
+_c(Matrix3x2sNormalized)
+_c(Matrix3x3)
+_c(Matrix3x3h)
+_c(Matrix3x3d)
+_c(Matrix3x3bNormalized)
+_c(Matrix3x3sNormalized)
+_c(Matrix3x4)
+_c(Matrix3x4h)
+_c(Matrix3x4d)
+_c(Matrix3x4bNormalized)
+_c(Matrix3x4sNormalized)
+_c(Matrix3x2bNormalizedAligned)
+_c(Matrix3x3hAligned)
+_c(Matrix3x3bNormalizedAligned)
+_c(Matrix3x3sNormalizedAligned)
+_c(Matrix4x2)
+_c(Matrix4x2h)
+_c(Matrix4x2d)
+_c(Matrix4x2bNormalized)
+_c(Matrix4x2sNormalized)
+_c(Matrix4x3)
+_c(Matrix4x3h)
+_c(Matrix4x3d)
+_c(Matrix4x3bNormalized)
+_c(Matrix4x3sNormalized)
+_c(Matrix4x4)
+_c(Matrix4x4h)
+_c(Matrix4x4d)
+_c(Matrix4x4bNormalized)
+_c(Matrix4x4sNormalized)
+_c(Matrix4x2bNormalizedAligned)
+_c(Matrix4x3hAligned)
+_c(Matrix4x3bNormalizedAligned)
+_c(Matrix4x3sNormalizedAligned)
 #endif
diff --git a/src/Magnum/Test/VertexFormatTest.cpp b/src/Magnum/Test/VertexFormatTest.cpp
index d145f4eb1..71c6669a8 100644
--- a/src/Magnum/Test/VertexFormatTest.cpp
+++ b/src/Magnum/Test/VertexFormatTest.cpp
@@ -25,11 +25,13 @@
 
 #include <sstream>
 #include <Corrade/TestSuite/Tester.h>
+#include <Corrade/TestSuite/Compare/Numeric.h>
 #include <Corrade/Utility/Configuration.h>
 #include <Corrade/Utility/DebugStl.h>
 
 #include "Magnum/VertexFormat.h"
-#include "Magnum/Math/Vector4.h"
+#include "Magnum/Math/Half.h"
+#include "Magnum/Math/Matrix4.h"
 
 namespace Magnum { namespace Test { namespace {
 
@@ -52,6 +54,12 @@ struct VertexFormatTest: TestSuite::Tester {
     void componentFormat();
     void componentFormatInvalid();
     void componentFormatImplementationSpecific();
+    void vectorCount();
+    void vectorCountInvalid();
+    void vectorCountImplementationSpecific();
+    void vectorStride();
+    void vectorStrideInvalid();
+    void vectorStrideImplementationSpecific();
     void isNormalized();
     void isNormalizedInvalid();
     void isNormalizedImplementationSpecific();
@@ -62,6 +70,12 @@ struct VertexFormatTest: TestSuite::Tester {
     void assembleInvalidComponentCount();
     void assembleImplementationSpecific();
 
+    void assembleMatrix();
+    void assembleMatrixRoundtrip();
+    void assembleMatrixInvalidType();
+    void assembleMatrixInvalidCount();
+    void assembleMatrixImplementationSpecific();
+
     void debug();
     void debugImplementationSpecific();
     void configuration();
@@ -85,6 +99,32 @@ constexpr struct {
     {VertexFormat::Int, false}
 };
 
+constexpr struct {
+    VertexFormat componentType;
+    UnsignedInt componentCount;
+    bool aligned;
+} AssembleMatrixRoundtripData[]{
+    {VertexFormat::Float, 2, true},
+    {VertexFormat::Float, 3, true},
+    {VertexFormat::Float, 4, true},
+    {VertexFormat::Half, 2, false},
+    {VertexFormat::Half, 3, false},
+    {VertexFormat::Half, 3, true},
+    {VertexFormat::Half, 4, false},
+    {VertexFormat::Double, 2, true},
+    {VertexFormat::Double, 3, true},
+    {VertexFormat::Double, 4, true},
+    {VertexFormat::Byte, 2, false},
+    {VertexFormat::Byte, 2, true},
+    {VertexFormat::Byte, 3, false},
+    {VertexFormat::Byte, 3, true},
+    {VertexFormat::Byte, 4, false},
+    {VertexFormat::Short, 2, false},
+    {VertexFormat::Short, 3, false},
+    {VertexFormat::Short, 3, true},
+    {VertexFormat::Short, 4, false}
+};
+
 VertexFormatTest::VertexFormatTest() {
     addTests({&VertexFormatTest::mapping,
 
@@ -102,6 +142,12 @@ VertexFormatTest::VertexFormatTest() {
               &VertexFormatTest::componentFormat,
               &VertexFormatTest::componentFormatInvalid,
               &VertexFormatTest::componentFormatImplementationSpecific,
+              &VertexFormatTest::vectorCount,
+              &VertexFormatTest::vectorCountInvalid,
+              &VertexFormatTest::vectorCountImplementationSpecific,
+              &VertexFormatTest::vectorStride,
+              &VertexFormatTest::vectorStrideInvalid,
+              &VertexFormatTest::vectorStrideImplementationSpecific,
               &VertexFormatTest::isNormalized,
               &VertexFormatTest::isNormalizedInvalid,
               &VertexFormatTest::isNormalizedImplementationSpecific,
@@ -115,6 +161,15 @@ VertexFormatTest::VertexFormatTest() {
               &VertexFormatTest::assembleInvalidComponentCount,
               &VertexFormatTest::assembleImplementationSpecific,
 
+              &VertexFormatTest::assembleMatrix});
+
+    addRepeatedInstancedTests({&VertexFormatTest::assembleMatrixRoundtrip}, 3,
+        Containers::arraySize(AssembleMatrixRoundtripData));
+
+    addTests({&VertexFormatTest::assembleMatrixInvalidType,
+              &VertexFormatTest::assembleMatrixInvalidCount,
+              &VertexFormatTest::assembleMatrixImplementationSpecific,
+
               &VertexFormatTest::debug,
               &VertexFormatTest::debugImplementationSpecific,
               &VertexFormatTest::configuration});
@@ -198,6 +253,13 @@ void VertexFormatTest::size() {
     CORRADE_COMPARE(vertexFormatSize(VertexFormat::Vector2), sizeof(Vector2));
     CORRADE_COMPARE(vertexFormatSize(VertexFormat::Vector3), sizeof(Vector3));
     CORRADE_COMPARE(vertexFormatSize(VertexFormat::Vector4), sizeof(Vector4));
+
+    CORRADE_COMPARE(vertexFormatSize(VertexFormat::Matrix2x3), sizeof(Matrix2x3));
+    CORRADE_COMPARE(vertexFormatSize(VertexFormat::Matrix4x3h), sizeof(Matrix4x3h));
+
+    /* Aligned types */
+    CORRADE_COMPARE(vertexFormatSize(VertexFormat::Matrix2x2bNormalized), sizeof(Matrix2x2b));
+    CORRADE_COMPARE(vertexFormatSize(VertexFormat::Matrix2x2bNormalizedAligned), sizeof(Matrix2x4b));
 }
 
 void VertexFormatTest::sizeInvalid() {
@@ -224,6 +286,13 @@ void VertexFormatTest::componentCount() {
     CORRADE_COMPARE(vertexFormatComponentCount(VertexFormat::Vector2us), 2);
     CORRADE_COMPARE(vertexFormatComponentCount(VertexFormat::Vector3bNormalized), 3);
     CORRADE_COMPARE(vertexFormatComponentCount(VertexFormat::Vector4), 4);
+
+    CORRADE_COMPARE(vertexFormatComponentCount(VertexFormat::Matrix4x3), 3);
+    CORRADE_COMPARE(vertexFormatComponentCount(VertexFormat::Matrix2x4sNormalized), 4);
+
+    /* Aligned types return used component count, w/o padding */
+    CORRADE_COMPARE(vertexFormatComponentCount(VertexFormat::Matrix2x3sNormalized), 3);
+    CORRADE_COMPARE(vertexFormatComponentCount(VertexFormat::Matrix2x3sNormalizedAligned), 3);
 }
 
 void VertexFormatTest::componentCountInvalid() {
@@ -257,6 +326,14 @@ void VertexFormatTest::componentFormat() {
     CORRADE_COMPARE(vertexFormatComponentFormat(VertexFormat::Vector2sNormalized), VertexFormat::Short);
     CORRADE_COMPARE(vertexFormatComponentFormat(VertexFormat::Vector2ui), VertexFormat::UnsignedInt);
     CORRADE_COMPARE(vertexFormatComponentFormat(VertexFormat::Vector3i), VertexFormat::Int);
+
+    CORRADE_COMPARE(vertexFormatComponentFormat(VertexFormat::Matrix3x4), VertexFormat::Float);
+    CORRADE_COMPARE(vertexFormatComponentFormat(VertexFormat::Matrix2x3h), VertexFormat::Half);
+    CORRADE_COMPARE(vertexFormatComponentFormat(VertexFormat::Matrix2x2d), VertexFormat::Double);
+    CORRADE_COMPARE(vertexFormatComponentFormat(VertexFormat::Matrix4x2bNormalized), VertexFormat::Byte);
+    CORRADE_COMPARE(vertexFormatComponentFormat(VertexFormat::Matrix4x2bNormalizedAligned), VertexFormat::Byte);
+    CORRADE_COMPARE(vertexFormatComponentFormat(VertexFormat::Matrix2x3sNormalized), VertexFormat::Short);
+    CORRADE_COMPARE(vertexFormatComponentFormat(VertexFormat::Matrix2x3sNormalizedAligned), VertexFormat::Short);
 }
 
 void VertexFormatTest::componentFormatInvalid() {
@@ -279,11 +356,80 @@ void VertexFormatTest::componentFormatImplementationSpecific() {
         "vertexFormatComponentFormat(): can't determine component format of an implementation-specific format 0xdead\n");
 }
 
+void VertexFormatTest::vectorCount() {
+    CORRADE_COMPARE(vertexFormatVectorCount(VertexFormat::UnsignedByteNormalized), 1);
+    CORRADE_COMPARE(vertexFormatVectorCount(VertexFormat::Vector2us), 1);
+    CORRADE_COMPARE(vertexFormatVectorCount(VertexFormat::Vector3bNormalized), 1);
+    CORRADE_COMPARE(vertexFormatVectorCount(VertexFormat::Vector4), 1);
+
+    CORRADE_COMPARE(vertexFormatVectorCount(VertexFormat::Matrix2x4sNormalized), 2);
+    CORRADE_COMPARE(vertexFormatVectorCount(VertexFormat::Matrix3x2bNormalized), 3);
+    CORRADE_COMPARE(vertexFormatVectorCount(VertexFormat::Matrix3x2bNormalizedAligned), 3);
+    CORRADE_COMPARE(vertexFormatVectorCount(VertexFormat::Matrix4x3), 4);
+}
+
+void VertexFormatTest::vectorCountInvalid() {
+    std::ostringstream out;
+    Error redirectError{&out};
+
+    vertexFormatVectorCount(VertexFormat{});
+    vertexFormatVectorCount(VertexFormat(0xdead));
+
+    CORRADE_COMPARE(out.str(),
+        "vertexFormatVectorCount(): invalid format VertexFormat(0x0)\n"
+        "vertexFormatVectorCount(): invalid format VertexFormat(0xdead)\n");
+}
+
+void VertexFormatTest::vectorCountImplementationSpecific() {
+    std::ostringstream out;
+    Error redirectError{&out};
+    vertexFormatVectorCount(vertexFormatWrap(0xdead));
+    CORRADE_COMPARE(out.str(),
+        "vertexFormatVectorCount(): can't determine vector count of an implementation-specific format 0xdead\n");
+}
+
+void VertexFormatTest::vectorStride() {
+    CORRADE_COMPARE(vertexFormatVectorStride(VertexFormat::UnsignedByteNormalized), 1);
+    CORRADE_COMPARE(vertexFormatVectorStride(VertexFormat::Vector3bNormalized), 3);
+    CORRADE_COMPARE(vertexFormatVectorStride(VertexFormat::Vector2us), 4);
+    CORRADE_COMPARE(vertexFormatVectorStride(VertexFormat::Vector4), 16);
+
+    CORRADE_COMPARE(vertexFormatVectorStride(VertexFormat::Matrix2x4sNormalized), 8);
+    CORRADE_COMPARE(vertexFormatVectorStride(VertexFormat::Matrix4x3), 12);
+
+    /* Aligned formats */
+    CORRADE_COMPARE(vertexFormatVectorStride(VertexFormat::Matrix3x2bNormalized), 2);
+    CORRADE_COMPARE(vertexFormatVectorStride(VertexFormat::Matrix3x2bNormalizedAligned), 4);
+}
+
+void VertexFormatTest::vectorStrideInvalid() {
+    std::ostringstream out;
+    Error redirectError{&out};
+
+    vertexFormatVectorStride(VertexFormat{});
+    vertexFormatVectorStride(VertexFormat(0xdead));
+
+    CORRADE_COMPARE(out.str(),
+        "vertexFormatVectorStride(): invalid format VertexFormat(0x0)\n"
+        "vertexFormatVectorStride(): invalid format VertexFormat(0xdead)\n");
+}
+
+void VertexFormatTest::vectorStrideImplementationSpecific() {
+    std::ostringstream out;
+    Error redirectError{&out};
+    vertexFormatVectorStride(vertexFormatWrap(0xdead));
+    CORRADE_COMPARE(out.str(),
+        "vertexFormatVectorStride(): can't determine vector count of an implementation-specific format 0xdead\n");
+}
+
 void VertexFormatTest::isNormalized() {
     CORRADE_VERIFY(isVertexFormatNormalized(VertexFormat::UnsignedByteNormalized));
     CORRADE_VERIFY(!isVertexFormatNormalized(VertexFormat::Vector2us));
     CORRADE_VERIFY(isVertexFormatNormalized(VertexFormat::Vector3bNormalized));
     CORRADE_VERIFY(!isVertexFormatNormalized(VertexFormat::Vector4));
+
+    CORRADE_VERIFY(!isVertexFormatNormalized(VertexFormat::Matrix2x2h));
+    CORRADE_VERIFY(isVertexFormatNormalized(VertexFormat::Matrix2x3bNormalized));
 }
 
 void VertexFormatTest::isNormalizedInvalid() {
@@ -336,8 +482,11 @@ void VertexFormatTest::assembleRoundtrip() {
     setTestCaseDescription(out.str());
 
     VertexFormat result = vertexFormat(data.componentType, testCaseRepeatId() + 1, data.normalized);
+    CORRADE_COMPARE(vertexFormat(result, testCaseRepeatId() + 1, data.normalized), result);
     CORRADE_COMPARE(vertexFormatComponentFormat(result), data.componentType);
     CORRADE_COMPARE(vertexFormatComponentCount(result), testCaseRepeatId() + 1);
+    CORRADE_COMPARE(vertexFormatVectorCount(result), 1);
+    CORRADE_COMPARE(vertexFormatVectorStride(result), vertexFormatSize(result));
     CORRADE_COMPARE(isVertexFormatNormalized(result), data.normalized);
 }
 
@@ -365,6 +514,83 @@ void VertexFormatTest::assembleImplementationSpecific() {
         "vertexFormat(): can't assemble a format out of an implementation-specific format 0xdead\n");
 }
 
+void VertexFormatTest::assembleMatrix() {
+    CORRADE_COMPARE(vertexFormat(VertexFormat::Byte, 3, 2, false),
+        VertexFormat::Matrix3x2bNormalized);
+    CORRADE_COMPARE(vertexFormat(VertexFormat::Short, 2, 3, true),
+        VertexFormat::Matrix2x3sNormalizedAligned);
+    CORRADE_COMPARE(vertexFormat(VertexFormat::Float, 4, 2, true),
+        VertexFormat::Matrix4x2);
+    CORRADE_COMPARE(vertexFormat(VertexFormat::Half, 2, 4, false),
+        VertexFormat::Matrix2x4h);
+    CORRADE_COMPARE(vertexFormat(VertexFormat::Double, 4, 4, true),
+        VertexFormat::Matrix4x4d);
+
+    /* Non-scalar types allowed too, as that makes the internal checking
+       much simpler than when requiring the type to be scalar non-normalized */
+    CORRADE_COMPARE(vertexFormat(VertexFormat::Vector4bNormalized, 2, 2, false),
+        VertexFormat::Matrix2x2bNormalized);
+    CORRADE_COMPARE(vertexFormat(VertexFormat::Vector3h, 3, 3, true),
+        VertexFormat::Matrix3x3hAligned);
+}
+
+void VertexFormatTest::assembleMatrixRoundtrip() {
+    auto&& data = AssembleMatrixRoundtripData[testCaseInstanceId()];
+
+    std::ostringstream out;
+    {
+        Debug d{&out, Debug::Flag::NoNewlineAtTheEnd};
+        d << data.componentType << Debug::nospace << "," << data.componentCount;
+        if(data.aligned) d << Debug::nospace << ", aligned";
+    }
+    setTestCaseDescription(out.str());
+
+    VertexFormat result = vertexFormat(data.componentType, testCaseRepeatId() + 2, data.componentCount, data.aligned);
+    CORRADE_COMPARE(vertexFormat(result, testCaseRepeatId() + 2, data.componentCount, data.aligned), result);
+    CORRADE_COMPARE(vertexFormatComponentFormat(result), data.componentType);
+    CORRADE_COMPARE(vertexFormatComponentCount(result), data.componentCount);
+    CORRADE_COMPARE(vertexFormatVectorCount(result), testCaseRepeatId() + 2);
+    CORRADE_COMPARE(vertexFormatVectorStride(result), vertexFormatSize(result)/(testCaseRepeatId() + 2));
+    if(data.aligned)
+        CORRADE_COMPARE_AS(vertexFormatVectorStride(result), 4, TestSuite::Compare::Divisible);
+}
+
+void VertexFormatTest::assembleMatrixInvalidType() {
+    std::ostringstream out;
+    Error redirectError{&out};
+    vertexFormat(VertexFormat::UnsignedByte, 3, 2, false);
+    vertexFormat(VertexFormat::UnsignedShort, 3, 2, false);
+    vertexFormat(VertexFormat::UnsignedInt, 2, 3, false);
+    vertexFormat(VertexFormat::Int, 2, 3, false);
+    CORRADE_COMPARE(out.str(),
+        "vertexFormat(): invalid matrix component type VertexFormat::UnsignedByte, only floating-point or 8-/16-bit signed integer types are supported\n"
+        "vertexFormat(): invalid matrix component type VertexFormat::UnsignedShort, only floating-point or 8-/16-bit signed integer types are supported\n"
+        "vertexFormat(): invalid matrix component type VertexFormat::UnsignedInt, only floating-point or 8-/16-bit signed integer types are supported\n"
+        "vertexFormat(): invalid matrix component type VertexFormat::Int, only floating-point or 8-/16-bit signed integer types are supported\n");
+}
+
+void VertexFormatTest::assembleMatrixInvalidCount() {
+    std::ostringstream out;
+    Error redirectError{&out};
+    vertexFormat(VertexFormat::Vector3, 2, 1, false);
+    vertexFormat(VertexFormat::Vector3, 2, 5, false);
+    vertexFormat(VertexFormat::Vector3, 5, 2, false);
+    vertexFormat(VertexFormat::Vector3, 1, 2, false);
+    CORRADE_COMPARE(out.str(),
+        "vertexFormat(): invalid component count 1\n"
+        "vertexFormat(): invalid component count 5\n"
+        "vertexFormat(): invalid vector count 5\n"
+        "vertexFormat(): invalid vector count 1\n");
+}
+
+void VertexFormatTest::assembleMatrixImplementationSpecific() {
+    std::ostringstream out;
+    Error redirectError{&out};
+    vertexFormat(vertexFormatWrap(0xdead), 2, 2, true);
+    CORRADE_COMPARE(out.str(),
+        "vertexFormat(): can't assemble a format out of an implementation-specific format 0xdead\n");
+}
+
 void VertexFormatTest::debug() {
     std::ostringstream o;
     Debug(&o) << VertexFormat::Vector4 << VertexFormat(0xdead);
diff --git a/src/Magnum/VertexFormat.cpp b/src/Magnum/VertexFormat.cpp
index ff96f53ef..38b07a039 100644
--- a/src/Magnum/VertexFormat.cpp
+++ b/src/Magnum/VertexFormat.cpp
@@ -69,12 +69,15 @@ UnsignedInt vertexFormatSize(const VertexFormat format) {
         case VertexFormat::Vector4ubNormalized:
         case VertexFormat::Vector4b:
         case VertexFormat::Vector4bNormalized:
+        case VertexFormat::Matrix2x2bNormalized:
             return 4;
         case VertexFormat::Vector3h:
         case VertexFormat::Vector3us:
         case VertexFormat::Vector3usNormalized:
         case VertexFormat::Vector3s:
         case VertexFormat::Vector3sNormalized:
+        case VertexFormat::Matrix2x3bNormalized:
+        case VertexFormat::Matrix3x2bNormalized:
             return 6;
         case VertexFormat::Double:
         case VertexFormat::Vector2:
@@ -85,20 +88,82 @@ UnsignedInt vertexFormatSize(const VertexFormat format) {
         case VertexFormat::Vector4usNormalized:
         case VertexFormat::Vector4s:
         case VertexFormat::Vector4sNormalized:
+        case VertexFormat::Matrix2x2h:
+        case VertexFormat::Matrix2x2sNormalized:
+        case VertexFormat::Matrix2x4bNormalized:
+        case VertexFormat::Matrix2x2bNormalizedAligned:
+        case VertexFormat::Matrix2x3bNormalizedAligned:
+        case VertexFormat::Matrix4x2bNormalized:
             return 8;
+        case VertexFormat::Matrix3x3bNormalized:
+            return 9;
         case VertexFormat::Vector3:
         case VertexFormat::Vector3ui:
         case VertexFormat::Vector3i:
+        case VertexFormat::Matrix2x3h:
+        case VertexFormat::Matrix2x3sNormalized:
+        case VertexFormat::Matrix3x2h:
+        case VertexFormat::Matrix3x2sNormalized:
+        case VertexFormat::Matrix3x4bNormalized:
+        case VertexFormat::Matrix3x2bNormalizedAligned:
+        case VertexFormat::Matrix3x3bNormalizedAligned:
+        case VertexFormat::Matrix4x3bNormalized:
             return 12;
         case VertexFormat::Vector2d:
         case VertexFormat::Vector4:
         case VertexFormat::Vector4ui:
         case VertexFormat::Vector4i:
+        case VertexFormat::Matrix2x2:
+        case VertexFormat::Matrix2x4h:
+        case VertexFormat::Matrix2x4sNormalized:
+        case VertexFormat::Matrix2x3hAligned:
+        case VertexFormat::Matrix2x3sNormalizedAligned:
+        case VertexFormat::Matrix4x2h:
+        case VertexFormat::Matrix4x2sNormalized:
+        case VertexFormat::Matrix4x4bNormalized:
+        case VertexFormat::Matrix4x2bNormalizedAligned:
+        case VertexFormat::Matrix4x3bNormalizedAligned:
             return 16;
+        case VertexFormat::Matrix3x3h:
+        case VertexFormat::Matrix3x3sNormalized:
+            return 18;
         case VertexFormat::Vector3d:
+        case VertexFormat::Matrix2x3:
+        case VertexFormat::Matrix3x2:
+        case VertexFormat::Matrix3x4h:
+        case VertexFormat::Matrix3x4sNormalized:
+        case VertexFormat::Matrix3x3hAligned:
+        case VertexFormat::Matrix3x3sNormalizedAligned:
+        case VertexFormat::Matrix4x3h:
+        case VertexFormat::Matrix4x3sNormalized:
             return 24;
         case VertexFormat::Vector4d:
+        case VertexFormat::Matrix2x2d:
+        case VertexFormat::Matrix2x4:
+        case VertexFormat::Matrix4x2:
+        case VertexFormat::Matrix4x4h:
+        case VertexFormat::Matrix4x4sNormalized:
+        case VertexFormat::Matrix4x3hAligned:
+        case VertexFormat::Matrix4x3sNormalizedAligned:
             return 32;
+        case VertexFormat::Matrix3x3:
+            return 36;
+        case VertexFormat::Matrix2x3d:
+        case VertexFormat::Matrix3x2d:
+        case VertexFormat::Matrix3x4:
+        case VertexFormat::Matrix4x3:
+            return 48;
+        case VertexFormat::Matrix2x4d:
+        case VertexFormat::Matrix4x2d:
+        case VertexFormat::Matrix4x4:
+            return 64;
+        case VertexFormat::Matrix3x3d:
+            return 72;
+        case VertexFormat::Matrix3x4d:
+        case VertexFormat::Matrix4x3d:
+            return 96;
+        case VertexFormat::Matrix4x4d:
+            return 128;
     }
 
     CORRADE_ASSERT(false, "vertexFormatSize(): invalid format" << format, {});
@@ -137,6 +202,24 @@ UnsignedInt vertexFormatComponentCount(const VertexFormat format) {
         case VertexFormat::Vector2sNormalized:
         case VertexFormat::Vector2ui:
         case VertexFormat::Vector2i:
+        case VertexFormat::Matrix2x2:
+        case VertexFormat::Matrix2x2h:
+        case VertexFormat::Matrix2x2d:
+        case VertexFormat::Matrix2x2bNormalized:
+        case VertexFormat::Matrix2x2sNormalized:
+        case VertexFormat::Matrix2x2bNormalizedAligned:
+        case VertexFormat::Matrix3x2:
+        case VertexFormat::Matrix3x2h:
+        case VertexFormat::Matrix3x2d:
+        case VertexFormat::Matrix3x2bNormalized:
+        case VertexFormat::Matrix3x2sNormalized:
+        case VertexFormat::Matrix3x2bNormalizedAligned:
+        case VertexFormat::Matrix4x2:
+        case VertexFormat::Matrix4x2h:
+        case VertexFormat::Matrix4x2d:
+        case VertexFormat::Matrix4x2bNormalized:
+        case VertexFormat::Matrix4x2sNormalized:
+        case VertexFormat::Matrix4x2bNormalizedAligned:
             return 2;
 
         case VertexFormat::Vector3:
@@ -152,6 +235,30 @@ UnsignedInt vertexFormatComponentCount(const VertexFormat format) {
         case VertexFormat::Vector3sNormalized:
         case VertexFormat::Vector3ui:
         case VertexFormat::Vector3i:
+        case VertexFormat::Matrix2x3:
+        case VertexFormat::Matrix2x3h:
+        case VertexFormat::Matrix2x3d:
+        case VertexFormat::Matrix2x3bNormalized:
+        case VertexFormat::Matrix2x3sNormalized:
+        case VertexFormat::Matrix2x3bNormalizedAligned:
+        case VertexFormat::Matrix2x3hAligned:
+        case VertexFormat::Matrix2x3sNormalizedAligned:
+        case VertexFormat::Matrix3x3:
+        case VertexFormat::Matrix3x3h:
+        case VertexFormat::Matrix3x3d:
+        case VertexFormat::Matrix3x3bNormalized:
+        case VertexFormat::Matrix3x3sNormalized:
+        case VertexFormat::Matrix3x3bNormalizedAligned:
+        case VertexFormat::Matrix3x3hAligned:
+        case VertexFormat::Matrix3x3sNormalizedAligned:
+        case VertexFormat::Matrix4x3:
+        case VertexFormat::Matrix4x3h:
+        case VertexFormat::Matrix4x3d:
+        case VertexFormat::Matrix4x3bNormalized:
+        case VertexFormat::Matrix4x3sNormalized:
+        case VertexFormat::Matrix4x3bNormalizedAligned:
+        case VertexFormat::Matrix4x3hAligned:
+        case VertexFormat::Matrix4x3sNormalizedAligned:
             return 3;
 
         case VertexFormat::Vector4:
@@ -167,6 +274,21 @@ UnsignedInt vertexFormatComponentCount(const VertexFormat format) {
         case VertexFormat::Vector4sNormalized:
         case VertexFormat::Vector4ui:
         case VertexFormat::Vector4i:
+        case VertexFormat::Matrix2x4:
+        case VertexFormat::Matrix2x4h:
+        case VertexFormat::Matrix2x4d:
+        case VertexFormat::Matrix2x4bNormalized:
+        case VertexFormat::Matrix2x4sNormalized:
+        case VertexFormat::Matrix3x4:
+        case VertexFormat::Matrix3x4h:
+        case VertexFormat::Matrix3x4d:
+        case VertexFormat::Matrix3x4bNormalized:
+        case VertexFormat::Matrix3x4sNormalized:
+        case VertexFormat::Matrix4x4:
+        case VertexFormat::Matrix4x4h:
+        case VertexFormat::Matrix4x4d:
+        case VertexFormat::Matrix4x4bNormalized:
+        case VertexFormat::Matrix4x4sNormalized:
             return 4;
     }
 
@@ -182,18 +304,48 @@ VertexFormat vertexFormatComponentFormat(const VertexFormat format) {
         case VertexFormat::Vector2:
         case VertexFormat::Vector3:
         case VertexFormat::Vector4:
+        case VertexFormat::Matrix2x2:
+        case VertexFormat::Matrix2x3:
+        case VertexFormat::Matrix2x4:
+        case VertexFormat::Matrix3x2:
+        case VertexFormat::Matrix3x3:
+        case VertexFormat::Matrix3x4:
+        case VertexFormat::Matrix4x2:
+        case VertexFormat::Matrix4x3:
+        case VertexFormat::Matrix4x4:
             return VertexFormat::Float;
 
         case VertexFormat::Half:
         case VertexFormat::Vector2h:
         case VertexFormat::Vector3h:
         case VertexFormat::Vector4h:
+        case VertexFormat::Matrix2x2h:
+        case VertexFormat::Matrix2x3h:
+        case VertexFormat::Matrix2x4h:
+        case VertexFormat::Matrix2x3hAligned:
+        case VertexFormat::Matrix3x2h:
+        case VertexFormat::Matrix3x3h:
+        case VertexFormat::Matrix3x4h:
+        case VertexFormat::Matrix3x3hAligned:
+        case VertexFormat::Matrix4x2h:
+        case VertexFormat::Matrix4x3h:
+        case VertexFormat::Matrix4x4h:
+        case VertexFormat::Matrix4x3hAligned:
             return VertexFormat::Half;
 
         case VertexFormat::Double:
         case VertexFormat::Vector2d:
         case VertexFormat::Vector3d:
         case VertexFormat::Vector4d:
+        case VertexFormat::Matrix2x2d:
+        case VertexFormat::Matrix2x3d:
+        case VertexFormat::Matrix2x4d:
+        case VertexFormat::Matrix3x2d:
+        case VertexFormat::Matrix3x3d:
+        case VertexFormat::Matrix3x4d:
+        case VertexFormat::Matrix4x2d:
+        case VertexFormat::Matrix4x3d:
+        case VertexFormat::Matrix4x4d:
             return VertexFormat::Double;
 
         case VertexFormat::UnsignedByte:
@@ -214,6 +366,21 @@ VertexFormat vertexFormatComponentFormat(const VertexFormat format) {
         case VertexFormat::Vector3bNormalized:
         case VertexFormat::Vector4b:
         case VertexFormat::Vector4bNormalized:
+        case VertexFormat::Matrix2x2bNormalized:
+        case VertexFormat::Matrix2x3bNormalized:
+        case VertexFormat::Matrix2x4bNormalized:
+        case VertexFormat::Matrix2x2bNormalizedAligned:
+        case VertexFormat::Matrix2x3bNormalizedAligned:
+        case VertexFormat::Matrix3x2bNormalized:
+        case VertexFormat::Matrix3x3bNormalized:
+        case VertexFormat::Matrix3x4bNormalized:
+        case VertexFormat::Matrix3x2bNormalizedAligned:
+        case VertexFormat::Matrix3x3bNormalizedAligned:
+        case VertexFormat::Matrix4x2bNormalized:
+        case VertexFormat::Matrix4x3bNormalized:
+        case VertexFormat::Matrix4x4bNormalized:
+        case VertexFormat::Matrix4x2bNormalizedAligned:
+        case VertexFormat::Matrix4x3bNormalizedAligned:
             return VertexFormat::Byte;
 
         case VertexFormat::UnsignedShort:
@@ -234,6 +401,18 @@ VertexFormat vertexFormatComponentFormat(const VertexFormat format) {
         case VertexFormat::Vector3sNormalized:
         case VertexFormat::Vector4s:
         case VertexFormat::Vector4sNormalized:
+        case VertexFormat::Matrix2x2sNormalized:
+        case VertexFormat::Matrix2x3sNormalized:
+        case VertexFormat::Matrix2x4sNormalized:
+        case VertexFormat::Matrix2x3sNormalizedAligned:
+        case VertexFormat::Matrix3x2sNormalized:
+        case VertexFormat::Matrix3x3sNormalized:
+        case VertexFormat::Matrix3x4sNormalized:
+        case VertexFormat::Matrix3x3sNormalizedAligned:
+        case VertexFormat::Matrix4x2sNormalized:
+        case VertexFormat::Matrix4x3sNormalized:
+        case VertexFormat::Matrix4x4sNormalized:
+        case VertexFormat::Matrix4x3sNormalizedAligned:
             return VertexFormat::Short;
 
         case VertexFormat::UnsignedInt:
@@ -252,6 +431,261 @@ VertexFormat vertexFormatComponentFormat(const VertexFormat format) {
     CORRADE_ASSERT(false, "vertexFormatComponentType(): invalid format" << format, {});
 }
 
+UnsignedInt vertexFormatVectorCount(const VertexFormat format) {
+    CORRADE_ASSERT(!isVertexFormatImplementationSpecific(format),
+        "vertexFormatVectorCount(): can't determine vector count of an implementation-specific format" << reinterpret_cast<void*>(vertexFormatUnwrap(format)), {});
+
+    switch(format) {
+        case VertexFormat::Float:
+        case VertexFormat::Half:
+        case VertexFormat::Double:
+        case VertexFormat::UnsignedByte:
+        case VertexFormat::UnsignedByteNormalized:
+        case VertexFormat::Byte:
+        case VertexFormat::ByteNormalized:
+        case VertexFormat::UnsignedShort:
+        case VertexFormat::UnsignedShortNormalized:
+        case VertexFormat::Short:
+        case VertexFormat::ShortNormalized:
+        case VertexFormat::UnsignedInt:
+        case VertexFormat::Int:
+        case VertexFormat::Vector2:
+        case VertexFormat::Vector2h:
+        case VertexFormat::Vector2d:
+        case VertexFormat::Vector2ub:
+        case VertexFormat::Vector2ubNormalized:
+        case VertexFormat::Vector2b:
+        case VertexFormat::Vector2bNormalized:
+        case VertexFormat::Vector2us:
+        case VertexFormat::Vector2usNormalized:
+        case VertexFormat::Vector2s:
+        case VertexFormat::Vector2sNormalized:
+        case VertexFormat::Vector2ui:
+        case VertexFormat::Vector2i:
+        case VertexFormat::Vector3:
+        case VertexFormat::Vector3h:
+        case VertexFormat::Vector3d:
+        case VertexFormat::Vector3ub:
+        case VertexFormat::Vector3ubNormalized:
+        case VertexFormat::Vector3b:
+        case VertexFormat::Vector3bNormalized:
+        case VertexFormat::Vector3us:
+        case VertexFormat::Vector3usNormalized:
+        case VertexFormat::Vector3s:
+        case VertexFormat::Vector3sNormalized:
+        case VertexFormat::Vector3ui:
+        case VertexFormat::Vector3i:
+        case VertexFormat::Vector4:
+        case VertexFormat::Vector4h:
+        case VertexFormat::Vector4d:
+        case VertexFormat::Vector4ub:
+        case VertexFormat::Vector4ubNormalized:
+        case VertexFormat::Vector4b:
+        case VertexFormat::Vector4bNormalized:
+        case VertexFormat::Vector4us:
+        case VertexFormat::Vector4usNormalized:
+        case VertexFormat::Vector4s:
+        case VertexFormat::Vector4sNormalized:
+        case VertexFormat::Vector4ui:
+        case VertexFormat::Vector4i:
+            return 1;
+
+        case VertexFormat::Matrix2x2:
+        case VertexFormat::Matrix2x2h:
+        case VertexFormat::Matrix2x2d:
+        case VertexFormat::Matrix2x2bNormalized:
+        case VertexFormat::Matrix2x2sNormalized:
+        case VertexFormat::Matrix2x2bNormalizedAligned:
+        case VertexFormat::Matrix2x3:
+        case VertexFormat::Matrix2x3h:
+        case VertexFormat::Matrix2x3d:
+        case VertexFormat::Matrix2x3bNormalized:
+        case VertexFormat::Matrix2x3sNormalized:
+        case VertexFormat::Matrix2x3bNormalizedAligned:
+        case VertexFormat::Matrix2x3hAligned:
+        case VertexFormat::Matrix2x3sNormalizedAligned:
+        case VertexFormat::Matrix2x4:
+        case VertexFormat::Matrix2x4h:
+        case VertexFormat::Matrix2x4d:
+        case VertexFormat::Matrix2x4bNormalized:
+        case VertexFormat::Matrix2x4sNormalized:
+            return 2;
+
+        case VertexFormat::Matrix3x2:
+        case VertexFormat::Matrix3x2h:
+        case VertexFormat::Matrix3x2d:
+        case VertexFormat::Matrix3x2bNormalized:
+        case VertexFormat::Matrix3x2sNormalized:
+        case VertexFormat::Matrix3x2bNormalizedAligned:
+        case VertexFormat::Matrix3x3:
+        case VertexFormat::Matrix3x3h:
+        case VertexFormat::Matrix3x3d:
+        case VertexFormat::Matrix3x3bNormalized:
+        case VertexFormat::Matrix3x3sNormalized:
+        case VertexFormat::Matrix3x3bNormalizedAligned:
+        case VertexFormat::Matrix3x3hAligned:
+        case VertexFormat::Matrix3x3sNormalizedAligned:
+        case VertexFormat::Matrix3x4:
+        case VertexFormat::Matrix3x4h:
+        case VertexFormat::Matrix3x4d:
+        case VertexFormat::Matrix3x4bNormalized:
+        case VertexFormat::Matrix3x4sNormalized:
+            return 3;
+
+        case VertexFormat::Matrix4x2:
+        case VertexFormat::Matrix4x2h:
+        case VertexFormat::Matrix4x2d:
+        case VertexFormat::Matrix4x2bNormalized:
+        case VertexFormat::Matrix4x2sNormalized:
+        case VertexFormat::Matrix4x2bNormalizedAligned:
+        case VertexFormat::Matrix4x3:
+        case VertexFormat::Matrix4x3h:
+        case VertexFormat::Matrix4x3d:
+        case VertexFormat::Matrix4x3bNormalized:
+        case VertexFormat::Matrix4x3sNormalized:
+        case VertexFormat::Matrix4x3bNormalizedAligned:
+        case VertexFormat::Matrix4x3hAligned:
+        case VertexFormat::Matrix4x3sNormalizedAligned:
+        case VertexFormat::Matrix4x4:
+        case VertexFormat::Matrix4x4h:
+        case VertexFormat::Matrix4x4d:
+        case VertexFormat::Matrix4x4bNormalized:
+        case VertexFormat::Matrix4x4sNormalized:
+            return 4;
+    }
+
+    CORRADE_ASSERT(false, "vertexFormatVectorCount(): invalid format" << format, {});
+}
+
+UnsignedInt vertexFormatVectorStride(const VertexFormat format) {
+    CORRADE_ASSERT(!isVertexFormatImplementationSpecific(format),
+        "vertexFormatVectorStride(): can't determine vector count of an implementation-specific format" << reinterpret_cast<void*>(vertexFormatUnwrap(format)), {});
+
+    switch(format) {
+        case VertexFormat::UnsignedByte:
+        case VertexFormat::UnsignedByteNormalized:
+        case VertexFormat::Byte:
+        case VertexFormat::ByteNormalized:
+            return 1;
+        case VertexFormat::Half:
+        case VertexFormat::UnsignedShort:
+        case VertexFormat::UnsignedShortNormalized:
+        case VertexFormat::Short:
+        case VertexFormat::ShortNormalized:
+        case VertexFormat::Vector2ub:
+        case VertexFormat::Vector2ubNormalized:
+        case VertexFormat::Vector2b:
+        case VertexFormat::Vector2bNormalized:
+        case VertexFormat::Matrix2x2bNormalized:
+        case VertexFormat::Matrix3x2bNormalized:
+        case VertexFormat::Matrix4x2bNormalized:
+            return 2;
+        case VertexFormat::Vector3ub:
+        case VertexFormat::Vector3ubNormalized:
+        case VertexFormat::Vector3b:
+        case VertexFormat::Vector3bNormalized:
+        case VertexFormat::Matrix2x3bNormalized:
+        case VertexFormat::Matrix3x3bNormalized:
+        case VertexFormat::Matrix4x3bNormalized:
+            return 3;
+        case VertexFormat::Float:
+        case VertexFormat::UnsignedInt:
+        case VertexFormat::Int:
+        case VertexFormat::Vector2h:
+        case VertexFormat::Vector2us:
+        case VertexFormat::Vector2usNormalized:
+        case VertexFormat::Vector2s:
+        case VertexFormat::Vector2sNormalized:
+        case VertexFormat::Vector4ub:
+        case VertexFormat::Vector4ubNormalized:
+        case VertexFormat::Vector4b:
+        case VertexFormat::Vector4bNormalized:
+        case VertexFormat::Matrix2x2bNormalizedAligned:
+        case VertexFormat::Matrix3x2bNormalizedAligned:
+        case VertexFormat::Matrix4x2bNormalizedAligned:
+        case VertexFormat::Matrix2x3bNormalizedAligned:
+        case VertexFormat::Matrix3x3bNormalizedAligned:
+        case VertexFormat::Matrix4x3bNormalizedAligned:
+        case VertexFormat::Matrix2x4bNormalized:
+        case VertexFormat::Matrix3x4bNormalized:
+        case VertexFormat::Matrix4x4bNormalized:
+        case VertexFormat::Matrix2x2h:
+        case VertexFormat::Matrix3x2h:
+        case VertexFormat::Matrix4x2h:
+        case VertexFormat::Matrix2x2sNormalized:
+        case VertexFormat::Matrix3x2sNormalized:
+        case VertexFormat::Matrix4x2sNormalized:
+            return 4;
+        case VertexFormat::Vector3h:
+        case VertexFormat::Vector3us:
+        case VertexFormat::Vector3usNormalized:
+        case VertexFormat::Vector3s:
+        case VertexFormat::Vector3sNormalized:
+        case VertexFormat::Matrix2x3h:
+        case VertexFormat::Matrix3x3h:
+        case VertexFormat::Matrix4x3h:
+        case VertexFormat::Matrix2x3sNormalized:
+        case VertexFormat::Matrix3x3sNormalized:
+        case VertexFormat::Matrix4x3sNormalized:
+            return 6;
+        case VertexFormat::Double:
+        case VertexFormat::Vector2:
+        case VertexFormat::Vector2ui:
+        case VertexFormat::Vector2i:
+        case VertexFormat::Vector4h:
+        case VertexFormat::Vector4us:
+        case VertexFormat::Vector4usNormalized:
+        case VertexFormat::Vector4s:
+        case VertexFormat::Vector4sNormalized:
+        case VertexFormat::Matrix2x2:
+        case VertexFormat::Matrix3x2:
+        case VertexFormat::Matrix4x2:
+        case VertexFormat::Matrix2x4h:
+        case VertexFormat::Matrix3x4h:
+        case VertexFormat::Matrix4x4h:
+        case VertexFormat::Matrix2x4sNormalized:
+        case VertexFormat::Matrix3x4sNormalized:
+        case VertexFormat::Matrix4x4sNormalized:
+        case VertexFormat::Matrix2x3hAligned:
+        case VertexFormat::Matrix3x3hAligned:
+        case VertexFormat::Matrix4x3hAligned:
+        case VertexFormat::Matrix2x3sNormalizedAligned:
+        case VertexFormat::Matrix3x3sNormalizedAligned:
+        case VertexFormat::Matrix4x3sNormalizedAligned:
+            return 8;
+        case VertexFormat::Vector3:
+        case VertexFormat::Vector3ui:
+        case VertexFormat::Vector3i:
+        case VertexFormat::Matrix2x3:
+        case VertexFormat::Matrix3x3:
+        case VertexFormat::Matrix4x3:
+            return 12;
+        case VertexFormat::Vector2d:
+        case VertexFormat::Vector4:
+        case VertexFormat::Vector4ui:
+        case VertexFormat::Vector4i:
+        case VertexFormat::Matrix2x4:
+        case VertexFormat::Matrix3x4:
+        case VertexFormat::Matrix4x4:
+        case VertexFormat::Matrix2x2d:
+        case VertexFormat::Matrix3x2d:
+        case VertexFormat::Matrix4x2d:
+            return 16;
+        case VertexFormat::Vector3d:
+        case VertexFormat::Matrix2x3d:
+        case VertexFormat::Matrix3x3d:
+        case VertexFormat::Matrix4x3d:
+            return 24;
+        case VertexFormat::Vector4d:
+        case VertexFormat::Matrix2x4d:
+        case VertexFormat::Matrix3x4d:
+        case VertexFormat::Matrix4x4d:
+            return 32;
+    }
+
+    CORRADE_ASSERT(false, "vertexFormatVectorStride(): invalid format" << format, {});
+}
+
 bool isVertexFormatNormalized(const VertexFormat format) {
     CORRADE_ASSERT(!isVertexFormatImplementationSpecific(format),
         "isVertexFormatNormalized(): can't determine normalization of an implementation-specific format" << reinterpret_cast<void*>(vertexFormatUnwrap(format)), {});
@@ -293,6 +727,36 @@ bool isVertexFormatNormalized(const VertexFormat format) {
         case VertexFormat::Vector4s:
         case VertexFormat::Vector4ui:
         case VertexFormat::Vector4i:
+        case VertexFormat::Matrix2x2:
+        case VertexFormat::Matrix2x2h:
+        case VertexFormat::Matrix2x2d:
+        case VertexFormat::Matrix2x3:
+        case VertexFormat::Matrix2x3h:
+        case VertexFormat::Matrix2x3d:
+        case VertexFormat::Matrix2x4:
+        case VertexFormat::Matrix2x4h:
+        case VertexFormat::Matrix2x4d:
+        case VertexFormat::Matrix2x3hAligned:
+        case VertexFormat::Matrix3x2:
+        case VertexFormat::Matrix3x2h:
+        case VertexFormat::Matrix3x2d:
+        case VertexFormat::Matrix3x3:
+        case VertexFormat::Matrix3x3h:
+        case VertexFormat::Matrix3x3d:
+        case VertexFormat::Matrix3x4:
+        case VertexFormat::Matrix3x4h:
+        case VertexFormat::Matrix3x4d:
+        case VertexFormat::Matrix3x3hAligned:
+        case VertexFormat::Matrix4x2:
+        case VertexFormat::Matrix4x2h:
+        case VertexFormat::Matrix4x2d:
+        case VertexFormat::Matrix4x3:
+        case VertexFormat::Matrix4x3h:
+        case VertexFormat::Matrix4x3d:
+        case VertexFormat::Matrix4x4:
+        case VertexFormat::Matrix4x4h:
+        case VertexFormat::Matrix4x4d:
+        case VertexFormat::Matrix4x3hAligned:
             return false;
 
         case VertexFormat::UnsignedByteNormalized:
@@ -311,6 +775,33 @@ bool isVertexFormatNormalized(const VertexFormat format) {
         case VertexFormat::Vector4bNormalized:
         case VertexFormat::Vector4usNormalized:
         case VertexFormat::Vector4sNormalized:
+        case VertexFormat::Matrix2x2bNormalized:
+        case VertexFormat::Matrix2x2sNormalized:
+        case VertexFormat::Matrix2x3bNormalized:
+        case VertexFormat::Matrix2x3sNormalized:
+        case VertexFormat::Matrix2x4bNormalized:
+        case VertexFormat::Matrix2x4sNormalized:
+        case VertexFormat::Matrix2x2bNormalizedAligned:
+        case VertexFormat::Matrix2x3bNormalizedAligned:
+        case VertexFormat::Matrix2x3sNormalizedAligned:
+        case VertexFormat::Matrix3x2bNormalized:
+        case VertexFormat::Matrix3x2sNormalized:
+        case VertexFormat::Matrix3x3bNormalized:
+        case VertexFormat::Matrix3x3sNormalized:
+        case VertexFormat::Matrix3x4bNormalized:
+        case VertexFormat::Matrix3x4sNormalized:
+        case VertexFormat::Matrix3x2bNormalizedAligned:
+        case VertexFormat::Matrix3x3bNormalizedAligned:
+        case VertexFormat::Matrix3x3sNormalizedAligned:
+        case VertexFormat::Matrix4x2bNormalized:
+        case VertexFormat::Matrix4x2sNormalized:
+        case VertexFormat::Matrix4x3bNormalized:
+        case VertexFormat::Matrix4x3sNormalized:
+        case VertexFormat::Matrix4x4bNormalized:
+        case VertexFormat::Matrix4x4sNormalized:
+        case VertexFormat::Matrix4x2bNormalizedAligned:
+        case VertexFormat::Matrix4x3bNormalizedAligned:
+        case VertexFormat::Matrix4x3sNormalizedAligned:
             return true;
     }
 
@@ -362,6 +853,57 @@ VertexFormat vertexFormat(const VertexFormat format, const UnsignedInt component
     CORRADE_ASSERT_UNREACHABLE(); /* LCOV_EXCL_LINE */
 }
 
+VertexFormat vertexFormat(const VertexFormat format, const UnsignedInt vectorCount, UnsignedInt componentCount, const bool aligned) {
+    CORRADE_ASSERT(!isVertexFormatImplementationSpecific(format),
+        "vertexFormat(): can't assemble a format out of an implementation-specific format" << reinterpret_cast<void*>(vertexFormatUnwrap(format)), {});
+    CORRADE_ASSERT(vectorCount >= 2 && vectorCount <= 4,
+        "vertexFormat(): invalid vector count" << vectorCount, {});
+    CORRADE_ASSERT(componentCount >= 2 && componentCount <= 4,
+        "vertexFormat(): invalid component count" << componentCount, {});
+
+    const VertexFormat componentFormat = vertexFormatComponentFormat(format);
+    const UnsignedInt vectorDistance = (vectorCount - 2)*(
+        UnsignedInt(VertexFormat::Matrix3x2) -
+        UnsignedInt(VertexFormat::Matrix2x2));
+    const UnsignedInt componentDistance = (componentCount - 2)*(
+        UnsignedInt(VertexFormat::Matrix2x3) -
+        UnsignedInt(VertexFormat::Matrix2x2));
+
+    UnsignedInt out;
+    switch(componentFormat) {
+        case VertexFormat::Float:
+            out = UnsignedInt(VertexFormat::Matrix2x2) + componentDistance;
+            break;
+        case VertexFormat::Half:
+            if(aligned && componentCount == 3)
+                out = UnsignedInt(VertexFormat::Matrix2x3hAligned);
+            else
+                out = UnsignedInt(VertexFormat::Matrix2x2h) + componentDistance;
+            break;
+        case VertexFormat::Double:
+            out = UnsignedInt(VertexFormat::Matrix2x2d) + componentDistance;
+            break;
+        case VertexFormat::Byte:
+            if(aligned && componentCount == 2)
+                out = UnsignedInt(VertexFormat::Matrix2x2bNormalizedAligned);
+            else if(aligned && componentCount == 3)
+                out = UnsignedInt(VertexFormat::Matrix2x3bNormalizedAligned);
+            else
+                out = UnsignedInt(VertexFormat::Matrix2x2bNormalized) + componentDistance;
+            break;
+        case VertexFormat::Short:
+            if(aligned && componentCount == 3)
+                out = UnsignedInt(VertexFormat::Matrix2x3sNormalizedAligned);
+            else
+                out = UnsignedInt(VertexFormat::Matrix2x2sNormalized) + componentDistance;
+            break;
+        default: CORRADE_ASSERT(false,
+            "vertexFormat(): invalid matrix component type" << componentFormat << Debug::nospace << ", only floating-point or 8-/16-bit signed integer types are supported", {});
+    }
+
+    return VertexFormat(out + vectorDistance);
+}
+
 namespace {
 
 constexpr const char* VertexFormatNames[] {
diff --git a/src/Magnum/VertexFormat.h b/src/Magnum/VertexFormat.h
index ac04719e4..79c5c1805 100644
--- a/src/Magnum/VertexFormat.h
+++ b/src/Magnum/VertexFormat.h
@@ -26,7 +26,7 @@
 */
 
 /** @file
- * @brief Enum @ref Magnum::VertexFormat, function @ref Magnum::isVertexFormatImplementationSpecific(), @ref Magnum::vertexFormatWrap(), @ref Magnum::vertexFormatUnwrap(), @ref Magnum::vertexFormatSize(), @ref Magnum::vertexFormatComponentCount(), @ref Magnum::vertexFormatComponentFormat(), @ref Magnum::isVertexFormatNormalized()
+ * @brief Enum @ref Magnum::VertexFormat, function @ref Magnum::isVertexFormatImplementationSpecific(), @ref Magnum::vertexFormatWrap(), @ref Magnum::vertexFormatUnwrap(), @ref Magnum::vertexFormatSize(), @ref Magnum::vertexFormatComponentFormat(), @ref Magnum::vertexFormatComponentCount(), @ref Magnum::vertexFormatVectorCount(), @ref Magnum::vertexFormatVectorStride(), @ref Magnum::isVertexFormatNormalized()
  */
 
 #include <Corrade/Utility/Assert.h>
@@ -776,7 +776,547 @@ enum class VertexFormat: UnsignedInt {
      * or @m_class{m-doc-external} [MTLVertexFormatInt4](https://developer.apple.com/documentation/metal/mtlvertexformat/mtlvertexformatint4?language=objc).
      * @m_keywords{DXGI_FORMAT_R32G32B32A32_SINT MTLVertexFormatInt4}
      */
-    Vector4i
+    Vector4i,
+
+    /**
+     * @ref Matrix2x2.
+     *
+     * Same as two @ref VertexFormat::Vector2 tightly following each other and
+     * bound to consecutive locations.
+     */
+    Matrix2x2,
+
+    /**
+     * @ref Matrix2x2h.
+     *
+     * Same as two @ref VertexFormat::Vector2h tightly following each other and
+     * bound to consecutive locations.
+     */
+    Matrix2x2h,
+
+    /**
+     * @ref Matrix2x2d.
+     *
+     * Same as two @ref VertexFormat::Vector2d tightly following each other and
+     * bound to consecutive locations.
+     */
+    Matrix2x2d,
+
+    /**
+     * @ref Matrix2x2b, with range @f$ [-127, 127] @f$ interpreted as
+     * @f$ [-1.0, 1.0] @f$.
+     *
+     * Same as two @ref VertexFormat::Vector2bNormalized tightly following each
+     * other and bound to consecutive locations. Note that this type doesn't
+     * have the columns four-byte aligned, which may negatively affect
+     * performance --- prefer to use
+     * @ref VertexFormat::Matrix2x2bNormalizedAligned instead.
+     */
+    Matrix2x2bNormalized,
+
+    /**
+     * @ref Matrix2x2s, with range @f$ [-32767, 32767] @f$ interpreted as
+     * @f$ [-1.0, 1.0] @f$.
+     *
+     * Same as two @ref VertexFormat::Vector2sNormalized tightly following each
+     * other and bound to consecutive locations.
+     */
+    Matrix2x2sNormalized,
+
+    /**
+     * @ref Matrix2x3.
+     *
+     * Same as two @ref VertexFormat::Vector3 tightly following each other and
+     * bound to consecutive locations.
+     */
+    Matrix2x3,
+
+    /**
+     * @ref Matrix2x3h.
+     *
+     * Same as two @ref VertexFormat::Vector3h tightly following each other and
+     * bound to consecutive locations. Note that this type doesn't have the
+     * columns four-byte aligned, which may negatively affect performance on
+     * some APIs --- prefer to use @ref VertexFormat::Matrix2x3hAligned
+     * instead.
+     */
+    Matrix2x3h,
+
+    /**
+     * @ref Matrix2x3d.
+     *
+     * Same as two @ref VertexFormat::Vector3d tightly following each other and
+     * bound to consecutive locations.
+     */
+    Matrix2x3d,
+
+    /**
+     * @ref Matrix2x3b, with range @f$ [-127, 127] @f$ interpreted as
+     * @f$ [-1.0, 1.0] @f$.
+     *
+     * Same as two @ref VertexFormat::Vector3bNormalized tightly following each
+     * other and bound to consecutive locations. Note that this type doesn't
+     * have the columns four-byte aligned, which may negatively affect
+     * performance --- prefer to use
+     * @ref VertexFormat::Matrix2x3bNormalizedAligned instead.
+     */
+    Matrix2x3bNormalized,
+
+    /**
+     * @ref Matrix2x3s, with range @f$ [-32767, 32767] @f$ interpreted as
+     * @f$ [-1.0, 1.0] @f$.
+     *
+     * Same as two @ref VertexFormat::Vector3sNormalized tightly following each
+     * other and bound to consecutive locations. Note that this type doesn't
+     * have the columns four-byte aligned, which may negatively affect
+     * performance --- prefer to use
+     * @ref VertexFormat::Matrix2x3sNormalizedAligned instead.
+     */
+    Matrix2x3sNormalized,
+
+    /**
+     * @ref Matrix2x4.
+     *
+     * Same as two @ref VertexFormat::Vector4 tightly following each other and
+     * bound to consecutive locations.
+     */
+    Matrix2x4,
+
+    /**
+     * @ref Matrix2x4h.
+     *
+     * Same as two @ref VertexFormat::Vector4h tightly following each other and
+     * bound to consecutive locations.
+     */
+    Matrix2x4h,
+
+    /**
+     * @ref Matrix2x4d.
+     *
+     * Same as two @ref VertexFormat::Vector4d tightly following each other and
+     * bound to consecutive locations.
+     */
+    Matrix2x4d,
+
+    /**
+     * @ref Matrix2x4b, with range @f$ [-127, 127] @f$ interpreted as
+     * @f$ [-1.0, 1.0] @f$.
+     *
+     * Same as two @ref VertexFormat::Vector4bNormalized tightly following each
+     * other and bound to consecutive locations.
+     */
+    Matrix2x4bNormalized,
+
+    /**
+     * @ref Matrix2x4s, with range @f$ [-32767, 32767] @f$ interpreted as
+     * @f$ [-1.0, 1.0] @f$.
+     *
+     * Same as two @ref VertexFormat::Vector4sNormalized tightly following each
+     * other and bound to consecutive locations.
+     */
+    Matrix2x4sNormalized,
+
+    /**
+     * @ref Matrix2x4b, with range @f$ [-127, 127] @f$ interpreted as
+     * @f$ [-1.0, 1.0] @f$ and bottom two rows ignored. A variant of
+     * @ref VertexFormat::Matrix2x2bNormalized that has columns four-byte
+     * aligned.
+     *
+     * Same as two @ref VertexFormat::Vector2bNormalized following each other
+     * with a 2-byte gap in between, bound to consecutive locations.
+     */
+    Matrix2x2bNormalizedAligned,
+
+    /**
+     * @ref Matrix2x4h, with bottom row ignored. A variant of
+     * @ref VertexFormat::Matrix2x3h that has columns four-byte aligned.
+     *
+     * Same as two @ref VertexFormat::Vector3s following each other with a
+     * 2-byte gap in between, bound to consecutive locations.
+     */
+    Matrix2x3hAligned,
+
+    /**
+     * @ref Matrix2x4b, with range @f$ [-127, 127] @f$ interpreted as
+     * @f$ [-1.0, 1.0] @f$ and bottom row ignored. A variant of
+     * @ref VertexFormat::Matrix2x3bNormalized that has columns four-byte
+     * aligned.
+     *
+     * Same as two @ref VertexFormat::Vector3bNormalized following each other
+     * with a 1-byte gap in between, bound to consecutive locations.
+     */
+    Matrix2x3bNormalizedAligned,
+
+    /**
+     * @ref Matrix2x4s, with range @f$ [-32767, 32767] @f$ interpreted as
+     * @f$ [-1.0, 1.0] @f$ and bottom row ignored. A variant of
+     * @ref VertexFormat::Matrix2x3sNormalized that has columns four-byte
+     * aligned.
+     *
+     * Same as two @ref VertexFormat::Vector3sNormalized following each other
+     * with a 2-byte gap in between, bound to consecutive locations.
+     */
+    Matrix2x3sNormalizedAligned,
+
+    /**
+     * @ref Matrix3x2.
+     *
+     * Same as three @ref VertexFormat::Vector2 tightly following each other
+     * and bound to consecutive locations.
+     */
+    Matrix3x2,
+
+    /**
+     * @ref Matrix3x2h.
+     *
+     * Same as three @ref VertexFormat::Vector2h tightly following each other
+     * and bound to consecutive locations.
+     */
+    Matrix3x2h,
+
+    /**
+     * @ref Matrix3x2d.
+     *
+     * Same as three @ref VertexFormat::Vector2d tightly following each other
+     * and bound to consecutive locations.
+     */
+    Matrix3x2d,
+
+    /**
+     * @ref Matrix3x2b, with range @f$ [-127, 127] @f$ interpreted as
+     * @f$ [-1.0, 1.0] @f$.
+     *
+     * Same as three @ref VertexFormat::Vector2bNormalized tightly following
+     * each other and bound to consecutive locations. Note that this type
+     * doesn't have the columns four-byte aligned, which may negatively affect
+     * performance --- prefer to use
+     * @ref VertexFormat::Matrix3x2bNormalizedAligned instead.
+     */
+    Matrix3x2bNormalized,
+
+    /**
+     * @ref Matrix3x2s, with range @f$ [-32767, 32767] @f$ interpreted as
+     * @f$ [-1.0, 1.0] @f$.
+     *
+     * Same as three @ref VertexFormat::Vector2sNormalized tightly following
+     * each other and bound to consecutive locations.
+     */
+    Matrix3x2sNormalized,
+
+    /**
+     * @ref Matrix3x3 or @ref Matrix3.
+     *
+     * Same as three @ref VertexFormat::Vector3 tightly following each other
+     * and bound to consecutive locations.
+     */
+    Matrix3x3,
+
+    /**
+     * @ref Matrix3x3h.
+     *
+     * Same as three @ref VertexFormat::Vector3h tightly following each other
+     * and bound to consecutive locations. Note that this type doesn't have the
+     * columns four-byte aligned, which may negatively affect performance on
+     * some APIs --- prefer to use @ref VertexFormat::Matrix3x3hAligned
+     * instead.
+     */
+    Matrix3x3h,
+
+    /**
+     * @ref Matrix3x3d or @ref Matrix3d.
+     *
+     * Same as three @ref VertexFormat::Vector3d tightly following each other
+     * and bound to consecutive locations.
+     */
+    Matrix3x3d,
+
+    /**
+     * @ref Matrix3x3b, with range @f$ [-127, 127] @f$ interpreted as
+     * @f$ [-1.0, 1.0] @f$.
+     *
+     * Same as three @ref VertexFormat::Vector3bNormalized tightly following
+     * each other and bound to consecutive locations. Note that this type
+     * doesn't have the columns four-byte aligned, which may negatively affect
+     * performance --- prefer to use
+     * @ref VertexFormat::Matrix3x3bNormalizedAligned instead.
+     */
+    Matrix3x3bNormalized,
+
+    /**
+     * @ref Matrix3x3s, with range @f$ [-32767, 32767] @f$ interpreted as
+     * @f$ [-1.0, 1.0] @f$.
+     *
+     * Same as three @ref VertexFormat::Vector3sNormalized tightly following
+     * each other and bound to consecutive locations. Note that this type
+     * doesn't have the columns four-byte aligned, which may negatively affect
+     * performance --- prefer to use
+     * @ref VertexFormat::Matrix3x3sNormalizedAligned instead.
+     */
+    Matrix3x3sNormalized,
+
+    /**
+     * @ref Matrix3x4.
+     *
+     * Same as three @ref VertexFormat::Vector4 tightly following each other
+     * and bound to consecutive locations.
+     */
+    Matrix3x4,
+
+    /**
+     * @ref Matrix3x4h.
+     *
+     * Same as three @ref VertexFormat::Vector4h tightly following each other
+     * and bound to consecutive locations.
+     */
+    Matrix3x4h,
+
+    /**
+     * @ref Matrix3x4d.
+     *
+     * Same as three @ref VertexFormat::Vector4d tightly following each other
+     * and bound to consecutive locations.
+     */
+    Matrix3x4d,
+
+    /**
+     * @ref Matrix3x4b, with range @f$ [-127, 127] @f$ interpreted as
+     * @f$ [-1.0, 1.0] @f$.
+     *
+     * Same as three @ref VertexFormat::Vector4bNormalized tightly following
+     * each other and bound to consecutive locations.
+     */
+    Matrix3x4bNormalized,
+
+    /**
+     * @ref Matrix3x4s, with range @f$ [-32767, 32767] @f$ interpreted as
+     * @f$ [-1.0, 1.0] @f$.
+     *
+     * Same as three @ref VertexFormat::Vector4sNormalized tightly following
+     * each other and bound to consecutive locations.
+     */
+    Matrix3x4sNormalized,
+
+    /**
+     * @ref Matrix3x4b, with range @f$ [-127, 127] @f$ interpreted as
+     * @f$ [-1.0, 1.0] @f$ and bottom two rows ignored. A variant of
+     * @ref VertexFormat::Matrix3x2bNormalized that has columns four-byte
+     * aligned.
+     *
+     * Same as three @ref VertexFormat::Vector2bNormalized following each other
+     * with a 2-byte gap in between, bound to consecutive locations.
+     */
+    Matrix3x2bNormalizedAligned,
+
+    /**
+     * @ref Matrix3x4h, with bottom row ignored. A variant of
+     * @ref VertexFormat::Matrix3x3h that has columns four-byte aligned.
+     *
+     * Same as three @ref VertexFormat::Vector3s following each other with a
+     * 2-byte gap in between, bound to consecutive locations.
+     */
+    Matrix3x3hAligned,
+
+    /**
+     * @ref Matrix3x4b, with range @f$ [-127, 127] @f$ interpreted as
+     * @f$ [-1.0, 1.0] @f$ and bottom row ignored. A variant of
+     * @ref VertexFormat::Matrix3x3bNormalized that has columns four-byte
+     * aligned.
+     *
+     * Same as three @ref VertexFormat::Vector3bNormalized following each other
+     * with a 1-byte gap in between, bound to consecutive locations.
+     */
+    Matrix3x3bNormalizedAligned,
+
+    /**
+     * @ref Matrix3x4s, with range @f$ [-32767, 32767] @f$ interpreted as
+     * @f$ [-1.0, 1.0] @f$ and bottom row ignored. A variant of
+     * @ref VertexFormat::Matrix3x3sNormalized that has columns four-byte
+     * aligned.
+     *
+     * Same as three @ref VertexFormat::Vector3sNormalized following each other
+     * with a 2-byte gap in between, bound to consecutive locations.
+     */
+    Matrix3x3sNormalizedAligned,
+
+    /**
+     * @ref Matrix4x2.
+     *
+     * Same as four @ref VertexFormat::Vector2 tightly following each other and
+     * bound to consecutive locations.
+     */
+    Matrix4x2,
+
+    /**
+     * @ref Matrix4x2h.
+     *
+     * Same as four @ref VertexFormat::Vector2h tightly following each other
+     * and bound to consecutive locations.
+     */
+    Matrix4x2h,
+
+    /**
+     * @ref Matrix4x2d.
+     *
+     * Same as four @ref VertexFormat::Vector2d tightly following each other
+     * and bound to consecutive locations.
+     */
+    Matrix4x2d,
+
+    /**
+     * @ref Matrix4x2b, with range @f$ [-127, 127] @f$ interpreted as
+     * @f$ [-1.0, 1.0] @f$.
+     *
+     * Same as four @ref VertexFormat::Vector2bNormalized tightly following
+     * each other and bound to consecutive locations. Note that this type
+     * doesn't have the columns four-byte aligned, which may negatively affect
+     * performance --- prefer to use
+     * @ref VertexFormat::Matrix4x2bNormalizedAligned instead.
+     */
+    Matrix4x2bNormalized,
+
+    /**
+     * @ref Matrix4x2s, with range @f$ [-32767, 32767] @f$ interpreted as
+     * @f$ [-1.0, 1.0] @f$.
+     *
+     * Same as four @ref VertexFormat::Vector2sNormalized tightly following
+     * each other and bound to consecutive locations.
+     */
+    Matrix4x2sNormalized,
+
+    /**
+     * @ref Matrix4x3.
+     *
+     * Same as four @ref VertexFormat::Vector3 tightly following each other and
+     * bound to consecutive locations.
+     */
+    Matrix4x3,
+
+    /**
+     * @ref Matrix4x3h.
+     *
+     * Same as four @ref VertexFormat::Vector3h tightly following each other
+     * and bound to consecutive locations. Note that this type doesn't have the
+     * columns four-byte aligned, which may negatively affect performance on
+     * some APIs --- prefer to use @ref VertexFormat::Matrix4x3hAligned
+     * instead.
+     */
+    Matrix4x3h,
+
+    /**
+     * @ref Matrix4x3d.
+     *
+     * Same as four @ref VertexFormat::Vector3d tightly following each other
+     * and bound to consecutive locations.
+     */
+    Matrix4x3d,
+
+    /**
+     * @ref Matrix4x3b, with range @f$ [-127, 127] @f$ interpreted as
+     * @f$ [-1.0, 1.0] @f$.
+     *
+     * Same as four @ref VertexFormat::Vector3bNormalized tightly following
+     * each other and bound to consecutive locations. Note that this type
+     * doesn't have the columns four-byte aligned, which may negatively affect
+     * performance --- prefer to use
+     * @ref VertexFormat::Matrix4x3bNormalizedAligned instead.
+     */
+    Matrix4x3bNormalized,
+
+    /**
+     * @ref Matrix4x3s, with range @f$ [-32767, 32767] @f$ interpreted as
+     * @f$ [-1.0, 1.0] @f$.
+     *
+     * Same as four @ref VertexFormat::Vector3sNormalized tightly following
+     * each other and bound to consecutive locations. Note that this type
+     * doesn't have the columns four-byte aligned, which may negatively affect
+     * performance --- prefer to use
+     * @ref VertexFormat::Matrix4x3sNormalizedAligned instead.
+     */
+    Matrix4x3sNormalized,
+
+    /**
+     * @ref Matrix4x4 or @ref Matrix4.
+     *
+     * Same as four @ref VertexFormat::Vector4 tightly following each other
+     * and bound to consecutive locations.
+     */
+    Matrix4x4,
+
+    /**
+     * @ref Matrix4x4h.
+     *
+     * Same as four @ref VertexFormat::Vector4h tightly following each other
+     * and bound to consecutive locations.
+     */
+    Matrix4x4h,
+
+    /**
+     * @ref Matrix4x4d.
+     *
+     * Same as four @ref VertexFormat::Vector4d tightly following each other
+     * and bound to consecutive locations.
+     */
+    Matrix4x4d,
+
+    /**
+     * @ref Matrix4x4b, with range @f$ [-127, 127] @f$ interpreted as
+     * @f$ [-1.0, 1.0] @f$.
+     *
+     * Same as four @ref VertexFormat::Vector4bNormalized tightly following
+     * each other and bound to consecutive locations.
+     */
+    Matrix4x4bNormalized,
+
+    /**
+     * @ref Matrix4x4s, with range @f$ [-32767, 32767] @f$ interpreted as
+     * @f$ [-1.0, 1.0] @f$.
+     *
+     * Same as four @ref VertexFormat::Vector4sNormalized tightly following
+     * each other and bound to consecutive locations.
+     */
+    Matrix4x4sNormalized,
+
+    /**
+     * @ref Matrix4x4b, with range @f$ [-127, 127] @f$ interpreted as
+     * @f$ [-1.0, 1.0] @f$ and bottom two rows ignored. A variant of
+     * @ref VertexFormat::Matrix4x2bNormalized that has columns four-byte
+     * aligned.
+     *
+     * Same as four @ref VertexFormat::Vector2bNormalized following each other
+     * with a 2-byte gap in between, bound to consecutive locations.
+     */
+    Matrix4x2bNormalizedAligned,
+
+    /**
+     * @ref Matrix4x4h, with bottom row ignored. A variant of
+     * @ref VertexFormat::Matrix3x3h that has columns four-byte aligned.
+     *
+     * Same as four @ref VertexFormat::Vector3s following each other with a
+     * 2-byte gap in between, bound to consecutive locations.
+     */
+    Matrix4x3hAligned,
+
+    /**
+     * @ref Matrix4x4b, with range @f$ [-127, 127] @f$ interpreted as
+     * @f$ [-1.0, 1.0] @f$ and bottom row ignored. A variant of
+     * @ref VertexFormat::Matrix4x3bNormalized that has columns four-byte
+     * aligned.
+     *
+     * Same as four @ref VertexFormat::Vector3bNormalized following each other
+     * with a 1-byte gap in between, bound to consecutive locations.
+     */
+    Matrix4x3bNormalizedAligned,
+
+    /**
+     * @ref Matrix4x4s, with range @f$ [-32767, 32767] @f$ interpreted as
+     * @f$ [-1.0, 1.0] @f$ and bottom row ignored. A variant of
+     * @ref VertexFormat::Matrix4x3sNormalized that has columns four-byte
+     * aligned.
+     *
+     * Same as four @ref VertexFormat::Vector3sNormalized following each other
+     * with a 2-byte gap in between, bound to consecutive locations.
+     */
+    Matrix4x3sNormalizedAligned
 };
 
 /**
@@ -863,6 +1403,25 @@ Returns @cpp 1 @ce for scalar types and e.g. @cpp 3 @ce for
 */
 MAGNUM_EXPORT UnsignedInt vertexFormatComponentCount(VertexFormat format);
 
+/**
+@brief Vector count of given vertex format
+@m_since_latest
+
+Returns @cpp 1 @ce for scalar and vector types and e.g. @cpp 3 @ce for
+@ref VertexFormat::Matrix3x2d.
+*/
+MAGNUM_EXPORT UnsignedInt vertexFormatVectorCount(VertexFormat format);
+
+/**
+@brief Vector stride of given vertex format
+@m_since_latest
+
+Returns type size for scalar and vector types and e.g. @cpp 8 @ce for
+@ref VertexFormat::Matrix2x3hAligned (but @cpp 6 @ce for
+@ref VertexFormat::Matrix2x3h).
+*/
+MAGNUM_EXPORT UnsignedInt vertexFormatVectorStride(VertexFormat format);
+
 /**
 @brief Component count of given vertex format
 @m_since_latest
@@ -888,6 +1447,22 @@ normalization. Expects that @p componentCount is not larger than @cpp 4 @ce and
 */
 MAGNUM_EXPORT VertexFormat vertexFormat(VertexFormat format, UnsignedInt componentCount, bool normalized);
 
+/**
+@brief Assemble a matrix vertex format from parts
+@m_since_latest
+
+Converts @p format to a new format of desired component and vertex count and
+normalization. Expects that both @p vectorCount and @p componentCount is either
+@cpp 2 @ce, @cpp 3 @ce or @cpp 4 @ce, and @p format is floating-point or
+8-/16-bit signed integer.
+@see @ref vertexFormatComponentFormat(),
+    @ref vertexFormatComponentCount(),
+    @ref vertexFormatVectorCount(),
+    @ref vertexFormatVectorStride(),
+    @ref isVertexFormatNormalized()
+*/
+MAGNUM_EXPORT VertexFormat vertexFormat(VertexFormat format, UnsignedInt vectorCount, UnsignedInt componentCount, bool aligned);
+
 }
 
 namespace Corrade { namespace Utility {
diff --git a/src/Magnum/Vk/Enums.h b/src/Magnum/Vk/Enums.h
index 230fd0aae..8dc1c59b1 100644
--- a/src/Magnum/Vk/Enums.h
+++ b/src/Magnum/Vk/Enums.h
@@ -95,7 +95,10 @@ Some Vulkan targets don't support all generic vertex formats. Returns
 @cpp false @ce if current target can't support such format, @cpp true @ce
 otherwise. Moreover, returns @cpp true @ce also for all formats that are
 @ref isVertexFormatImplementationSpecific(). The @p format value is expected
-to be valid.
+to be valid. Note that for matrix formats the function only returns a
+corresponding vector type, and the user is expected to bind the remaining
+vectors to consecutive attribute locations based on what
+@ref vertexFormatVectorCount() and @ref vertexFormatVectorStride() return.
 
 @note Support of some formats depends on presence of a particular Vulkan
     extension. Such check is outside of the scope of this function and you are
diff --git a/src/Magnum/Vk/Implementation/vertexFormatMapping.hpp b/src/Magnum/Vk/Implementation/vertexFormatMapping.hpp
index 2efe832bc..8e4ea054c 100644
--- a/src/Magnum/Vk/Implementation/vertexFormatMapping.hpp
+++ b/src/Magnum/Vk/Implementation/vertexFormatMapping.hpp
@@ -77,4 +77,61 @@ _c(Vector4s, R16G16B16A16_SINT)
 _c(Vector4sNormalized, R16G16B16A16_SNORM)
 _c(Vector4ui, R32G32B32A32_UINT)
 _c(Vector4i, R32G32B32A32_SINT)
+_c(Matrix2x2, R32G32_SFLOAT)
+_c(Matrix2x2h, R16G16_SFLOAT)
+_c(Matrix2x2d, R64G64_SFLOAT)
+_c(Matrix2x2bNormalized, R8G8_SNORM)
+_c(Matrix2x2sNormalized, R16G16_SNORM)
+_c(Matrix2x3, R32G32B32_SFLOAT)
+_c(Matrix2x3h, R16G16B16_SFLOAT)
+_c(Matrix2x3d, R64G64B64_SFLOAT)
+_c(Matrix2x3bNormalized, R8G8B8_SNORM)
+_c(Matrix2x3sNormalized, R16G16B16_SNORM)
+_c(Matrix2x4, R32G32B32A32_SFLOAT)
+_c(Matrix2x4h, R16G16B16A16_SFLOAT)
+_c(Matrix2x4d, R64G64B64A64_SFLOAT)
+_c(Matrix2x4bNormalized, R8G8B8A8_SNORM)
+_c(Matrix2x4sNormalized, R16G16B16A16_SNORM)
+_c(Matrix2x2bNormalizedAligned, R8G8_SNORM)
+_c(Matrix2x3hAligned, R16G16B16_SFLOAT)
+_c(Matrix2x3bNormalizedAligned, R8G8B8_SNORM)
+_c(Matrix2x3sNormalizedAligned, R16G16B16_SNORM)
+_c(Matrix3x2, R32G32_SFLOAT)
+_c(Matrix3x2h, R16G16_SFLOAT)
+_c(Matrix3x2d, R64G64_SFLOAT)
+_c(Matrix3x2bNormalized, R8G8_SNORM)
+_c(Matrix3x2sNormalized, R16G16_SNORM)
+_c(Matrix3x3, R32G32B32_SFLOAT)
+_c(Matrix3x3h, R16G16B16_SFLOAT)
+_c(Matrix3x3d, R64G64B64_SFLOAT)
+_c(Matrix3x3bNormalized, R8G8B8_SNORM)
+_c(Matrix3x3sNormalized, R16G16B16_SNORM)
+_c(Matrix3x4, R32G32B32A32_SFLOAT)
+_c(Matrix3x4h, R16G16B16A16_SFLOAT)
+_c(Matrix3x4d, R64G64B64A64_SFLOAT)
+_c(Matrix3x4bNormalized, R8G8B8A8_SNORM)
+_c(Matrix3x4sNormalized, R16G16B16A16_SNORM)
+_c(Matrix3x2bNormalizedAligned, R8G8_SNORM)
+_c(Matrix3x3hAligned, R16G16B16_SFLOAT)
+_c(Matrix3x3bNormalizedAligned, R8G8B8_SNORM)
+_c(Matrix3x3sNormalizedAligned, R16G16B16_SNORM)
+_c(Matrix4x2, R32G32_SFLOAT)
+_c(Matrix4x2h, R16G16_SFLOAT)
+_c(Matrix4x2d, R64G64_SFLOAT)
+_c(Matrix4x2bNormalized, R8G8_SNORM)
+_c(Matrix4x2sNormalized, R16G16_SNORM)
+_c(Matrix4x3, R32G32B32_SFLOAT)
+_c(Matrix4x3h, R16G16B16_SFLOAT)
+_c(Matrix4x3d, R64G64B64_SFLOAT)
+_c(Matrix4x3bNormalized, R8G8B8_SNORM)
+_c(Matrix4x3sNormalized, R16G16B16_SNORM)
+_c(Matrix4x4, R32G32B32A32_SFLOAT)
+_c(Matrix4x4h, R16G16B16A16_SFLOAT)
+_c(Matrix4x4d, R64G64B64A64_SFLOAT)
+_c(Matrix4x4bNormalized, R8G8B8A8_SNORM)
+_c(Matrix4x4sNormalized, R16G16B16A16_SNORM)
+_c(Matrix4x2bNormalizedAligned, R8G8_SNORM)
+_c(Matrix4x3hAligned, R16G16B16_SFLOAT)
+_c(Matrix4x3bNormalizedAligned, R8G8B8_SNORM)
+_c(Matrix4x3sNormalizedAligned, R16G16B16_SNORM)
 #endif
diff --git a/src/Magnum/Vk/Test/EnumsTest.cpp b/src/Magnum/Vk/Test/EnumsTest.cpp
index ee33252f9..e7a783b7c 100644
--- a/src/Magnum/Vk/Test/EnumsTest.cpp
+++ b/src/Magnum/Vk/Test/EnumsTest.cpp
@@ -251,6 +251,7 @@ void EnumsTest::mapVkFormatVertexFormat() {
     /* Touchstone verification */
     CORRADE_VERIFY(hasVkFormat(Magnum::VertexFormat::Vector3us));
     CORRADE_COMPARE(vkFormat(Magnum::VertexFormat::Vector3us), VK_FORMAT_R16G16B16_UINT);
+    CORRADE_COMPARE(vkFormat(Magnum::VertexFormat::Matrix2x3bNormalizedAligned), VK_FORMAT_R8G8B8_SNORM);
 
     /* This goes through the first 16 bits, which should be enough. Going
        through 32 bits takes 8 seconds, too much. */