Consider A=(1002)A = \begin{pmatrix} 1 & 0 \\ 0 & 2 \end{pmatrix}A=(1002). What is AnA^nAn?
(1n002n)\begin{pmatrix} 1^n & 0 \\ 0 & 2^n \end{pmatrix}(1n002n)
(1002n)\begin{pmatrix} 1 & 0 \\ 0 & 2^n \end{pmatrix}(1002n)
(n002n)\begin{pmatrix} n & 0 \\ 0 & 2n \end{pmatrix}(n002n)
(1002)\begin{pmatrix} 1 & 0 \\ 0 & 2 \end{pmatrix}(1002)