If A=(2002)A = \begin{pmatrix} 2 & 0 \\ 0 & 2 \end{pmatrix}A=(2002), what is A2A^2A2?
(4004)\begin{pmatrix} 4 & 0 \\ 0 & 4 \end{pmatrix}(4004)
(2002)\begin{pmatrix} 2 & 0 \\ 0 & 2 \end{pmatrix}(2002)
(0440)\begin{pmatrix} 0 & 4 \\ 4 & 0 \end{pmatrix}(0440)
(1001)\begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}(1001)