diff --git a/src/Magnum/Math/RectangularMatrix.h b/src/Magnum/Math/RectangularMatrix.h
index 6c5cbb60c..4085ee08b 100644
--- a/src/Magnum/Math/RectangularMatrix.h
+++ b/src/Magnum/Math/RectangularMatrix.h
@@ -224,6 +224,42 @@ template<std::size_t cols, std::size_t rows, class T> class RectangularMatrix {
             return !operator==(other);
         }
 
+        /**
+         * @brief Component-wise less than
+         *
+         * Calls @ref Vector::operator<() on @ref toVector().
+         */
+        BoolVector<cols*rows> operator<(const RectangularMatrix<cols, rows, T>& other) const {
+            return toVector() < other.toVector();
+        }
+
+        /**
+         * @brief Component-wise less than or equal
+         *
+         * Calls @ref Vector::operator<=() on @ref toVector().
+         */
+        BoolVector<cols*rows> operator<=(const RectangularMatrix<cols, rows, T>& other) const {
+            return toVector() <= other.toVector();
+        }
+
+        /**
+         * @brief Component-wise greater than or equal
+         *
+         * Calls @ref Vector::operator>=() on @ref toVector().
+         */
+        BoolVector<cols*rows> operator>=(const RectangularMatrix<cols, rows, T>& other) const {
+            return toVector() >= other.toVector();
+        }
+
+        /**
+         * @brief Component-wise greater than
+         *
+         * Calls @ref Vector::operator>() on @ref toVector().
+         */
+        BoolVector<cols*rows> operator>(const RectangularMatrix<cols, rows, T>& other) const {
+            return toVector() > other.toVector();
+        }
+
         /**
          * @brief Negated matrix
          *
diff --git a/src/Magnum/Math/Test/RectangularMatrixTest.cpp b/src/Magnum/Math/Test/RectangularMatrixTest.cpp
index f19425038..5ffcc75b3 100644
--- a/src/Magnum/Math/Test/RectangularMatrixTest.cpp
+++ b/src/Magnum/Math/Test/RectangularMatrixTest.cpp
@@ -70,6 +70,7 @@ struct RectangularMatrixTest: Corrade::TestSuite::Tester {
     void row();
 
     void compare();
+    void compareComponentWise();
 
     void negative();
     void addSubtract();
@@ -119,6 +120,7 @@ RectangularMatrixTest::RectangularMatrixTest() {
               &RectangularMatrixTest::row,
 
               &RectangularMatrixTest::compare,
+              &RectangularMatrixTest::compareComponentWise,
 
               &RectangularMatrixTest::negative,
               &RectangularMatrixTest::addSubtract,
@@ -331,6 +333,15 @@ void RectangularMatrixTest::compare() {
     CORRADE_VERIFY(ai != bi);
 }
 
+void RectangularMatrixTest::compareComponentWise() {
+    typedef BoolVector<3> BoolVector3;
+    typedef RectangularMatrix<3, 1, Float> Matrix3x1;
+    CORRADE_COMPARE(Matrix3x1(1.0f, -1.0f, 5.0f) < Matrix3x1(1.1f, -1.0f, 3.0f), BoolVector3(0x1));
+    CORRADE_COMPARE(Matrix3x1(1.0f, -1.0f, 5.0f) <= Matrix3x1(1.1f, -1.0f, 3.0f), BoolVector3(0x3));
+    CORRADE_COMPARE(Matrix3x1(1.0f, -1.0f, 5.0f) >= Matrix3x1(1.1f, -1.0f, 3.0f), BoolVector3(0x6));
+    CORRADE_COMPARE(Matrix3x1(1.0f, -1.0f, 5.0f) > Matrix3x1(1.1f, -1.0f, 3.0f), BoolVector3(0x4));
+}
+
 void RectangularMatrixTest::negative() {
     Matrix2x2 matrix(Vector2(1.0f,  -3.0f),
                      Vector2(5.0f, -10.0f));