Exercise 1. Transposes

Either convince yourself of the following or give an example to show it is false :

a. The transpose of (A+B)=transpose of A + transpose of B.

b. The transpose of AB=(transpose of A)(transpose of B)

c. The transpose of the transpose of A is A.

d. The transpose of A^n=(transpose of A)^n

e. The transpose of AB=(transpose of B)(transpose of A)