Given A=(3003)A = \begin{pmatrix} 3 & 0 \\ 0 & 3 \end{pmatrix}A=(3003), compute A10A^{10}A10.
3(1001)3 \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}3(1001)
310(1001)3^{10} \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}310(1001)
(31000310)\begin{pmatrix} 3^{10} & 0 \\ 0 & 3^{10} \end{pmatrix}(31000310)
(300030)\begin{pmatrix} 30 & 0 \\ 0 & 30 \end{pmatrix}(300030)