Given A=(2003)A = \begin{pmatrix} 2 & 0 \\ 0 & 3 \end{pmatrix}A=(2003), what is A10A^{10}A10?
(21000310)\begin{pmatrix} 2^{10} & 0 \\ 0 & 3^{10} \end{pmatrix}(21000310)
(200030)\begin{pmatrix} 20 & 0 \\ 0 & 30 \end{pmatrix}(200030)
(210210310310)\begin{pmatrix} 2^{10} & 2^{10} \\ 3^{10} & 3^{10} \end{pmatrix}(210310210310)
(1024001024)\begin{pmatrix} 1024 & 0 \\ 0 & 1024 \end{pmatrix}(1024001024)