question_answer

If A and S are square matrices of the same order and A is non-singular, then for a positive integer n, is equal to

A)  \[{{A}^{n}}{{B}^{n}}{{A}^{n}}\]       

B)  \[{{A}^{n}}{{B}^{n}}{{A}^{-n}}\]

C)  \[{{A}^{-1}}{{B}^{n}}A\]   

D)  \[n({{A}^{-1}}BA)\]