Which one of the following is true always for any two non-singular matrices A and B of same order ?

Options

A. a) AB=BA
B. b) `(AB)^(t) = A^(t)B^(t)`
C. c) `(A+B)(A-B)=A^(2)-B^(2)`
D. d) `(AB)^(-1)=B^(-1)A^(-1)`

Answer

D