diff --git a/src/Magnum/Math/Algorithms/GramSchmidt.h b/src/Magnum/Math/Algorithms/GramSchmidt.h
index dd289e58d..e095983c4 100644
--- a/src/Magnum/Math/Algorithms/GramSchmidt.h
+++ b/src/Magnum/Math/Algorithms/GramSchmidt.h
@@ -53,8 +53,15 @@ the process works as follows, with @f$ \boldsymbol{v}_k @f$ being columns of
 Note that the above is not performed directly due to numerical instability,
 the stable [modified Gram-Schmidt](https://en.wikipedia.org/wiki/Gram–Schmidt_process#Numerical_stability)
 algorithm is used instead.
-@see @ref gramSchmidtOrthogonalize(), @ref gramSchmidtOrthonormalizeInPlace(),
-    @ref Vector::projected()
+
+@attention Note that while this operation produces orthogonal column vectors,
+    it doesn't produce an [orthogonal matrix](https://en.wikipedia.org/wiki/Orthogonal_matrix)
+    --- an orthogonal matrix, as confusing as it may sound, has its column
+    vectors normalized. To produce an orthogonal matrix (for which
+    @ref Matrix::isOrthogonal() returns @cpp true @ce), use
+    @ref gramSchmidtOrthonormalizeInPlace() instead.
+
+@see @ref gramSchmidtOrthogonalize(), @ref Vector::projected()
 */
 template<std::size_t cols, std::size_t rows, class T> void gramSchmidtOrthogonalizeInPlace(RectangularMatrix<cols, rows, T>& matrix) {
     static_assert(cols <= rows, "Unsupported matrix aspect ratio");
@@ -69,6 +76,13 @@ template<std::size_t cols, std::size_t rows, class T> void gramSchmidtOrthogonal
 
 Unlike @ref gramSchmidtOrthogonalizeInPlace() returns the modified matrix
 instead of performing the orthogonalization in-place.
+
+@attention Note that while this operation produces orthogonal column vectors,
+    it doesn't produce an [orthogonal matrix](https://en.wikipedia.org/wiki/Orthogonal_matrix)
+    --- an orthogonal matrix, as confusing as it may sound, has its column
+    vectors normalized. To produce an orthogonal matrix (for which
+    @ref Matrix::isOrthogonal() returns @cpp true @ce), use
+    @ref gramSchmidtOrthonormalize() instead.
 */
 template<std::size_t cols, std::size_t rows, class T> RectangularMatrix<cols, rows, T> gramSchmidtOrthogonalize(RectangularMatrix<cols, rows, T> matrix) {
     gramSchmidtOrthogonalizeInPlace(matrix);
diff --git a/src/Magnum/Math/Matrix.h b/src/Magnum/Math/Matrix.h
index 43d4797bd..c364838db 100644
--- a/src/Magnum/Math/Matrix.h
+++ b/src/Magnum/Math/Matrix.h
@@ -122,12 +122,16 @@ template<std::size_t size, class T> class Matrix: public RectangularMatrix<size,
         /**
          * @brief Whether the matrix is orthogonal
          *
-         * The matrix is orthogonal if its transpose is equal to its inverse: @f[
+         * Returns @cpp true @ce if all basis vectors have unit length and are
+         * orthogonal to each other. In other words, when its transpose is
+         * equal to its inverse: @f[
          *      Q^T = Q^{-1}
          * @f]
          * @see @ref transposed(), @ref inverted(),
          *      @ref Matrix3::isRigidTransformation(),
-         *      @ref Matrix4::isRigidTransformation()
+         *      @ref Matrix4::isRigidTransformation(),
+         *      @ref Algorithms::gramSchmidtOrthogonalizeInPlace(),
+         *      @ref Algorithms::gramSchmidtOrthonormalizeInPlace()
          */
         bool isOrthogonal() const;