If A=(2003)A = \begin{pmatrix} 2 & 0 \\ 0 & 3 \end{pmatrix}A=(2003), compute A2A^2A2.
(4009)\begin{pmatrix} 4 & 0 \\ 0 & 9 \end{pmatrix}(4009)
(4006)\begin{pmatrix} 4 & 0 \\ 0 & 6 \end{pmatrix}(4006)
(2003)\begin{pmatrix} 2 & 0 \\ 0 & 3 \end{pmatrix}(2003)
(5005)\begin{pmatrix} 5 & 0 \\ 0 & 5 \end{pmatrix}(5005)