Matrix Transposition Properties

If A is an m x n matrix then the transpose of A is the n x m matrix A^T whose rows are the columns of A, turned sideways.

For example

A =

1	2	3
4	5	6

A^T =

1	4
2	5
3	6

(A^T)^T =

A

(cA)^T =

cA^T

(A + B)^T =

A^T + B^T

(AB)^T =

B^TA^T