If A=(2002)A = \begin{pmatrix} 2 & 0 \\ 0 & 2 \end{pmatrix}A=(2002), compute A3A^3A3.
(2002)3\begin{pmatrix} 2 & 0 \\ 0 & 2 \end{pmatrix}^3(2002)3
(4004)\begin{pmatrix} 4 & 0 \\ 0 & 4 \end{pmatrix}(4004)
(8008)\begin{pmatrix} 8 & 0 \\ 0 & 8 \end{pmatrix}(8008)
(6006)\begin{pmatrix} 6 & 0 \\ 0 & 6 \end{pmatrix}(6006)