Tranpose of a matrix AT is obtained from A by changing its rows into columns and its columns into rows.
The first row of A is the first column of AT.
Properties of Transpose
1. (AT)T = A
2. (A+B) T = AT+BT ( A and B must have the same order)
3. (kA) T = kAT., (k is any scalar)
4. (AB) T = BTAT