If A and B are matrices with sizes such that the given matrix operations are defined, then the following properties are true.
(AT)T = A
Transpose of a sum
(A + B)T = AT + BT
Transpose of a scalar multiple
(cA)T = c(AT)
Transpose of a product
(AB)T = BTAT
If A is a symmetric matrix, then we have A = AT
If B = AAT then B is always a symmetric matrix.
