Let A and B be two n × n matrices. Show thata) (A + B)t = At +Bt.________________b) (AB) t = B t A t.If A and B arc n × n matrices with AB = BA = In, then B is called the inverse of A (this terminology is appropriate because such a matrix B is unique) and A is said to be invertible. The notation B = A-1 denotes that B is the inverse of A.

Solution:Step 1:According to the question, we have to show that (A + B)T= AT+BT.