Editing Matrix multiplication (section)

===Transpose===
If the scalars have the [[commutative property]], the [[transpose]] of a product of matrices is the product, in the reverse order, of the transposes of the factors. That is 
:<math> (\mathbf{AB})^\mathsf{T} = \mathbf{B}^\mathsf{T}\mathbf{A}^\mathsf{T} </math>
where <sup>T</sup> denotes the transpose, that is the interchange of rows and columns.

This identity does not hold for noncommutative entries, since the order between the entries of {{math|'''A'''}} and {{math|'''B'''}} is reversed, when one expands the definition of the matrix product.