Given A=(1000)A = \begin{pmatrix} 1 & 0 \\ 0 & 0 \end{pmatrix}A=(1000), what is A2A^2A2?
(0000)\begin{pmatrix} 0 & 0 \\ 0 & 0 \end{pmatrix}(0000)
(1000)\begin{pmatrix} 1 & 0 \\ 0 & 0 \end{pmatrix}(1000)
(1100)\begin{pmatrix} 1 & 1 \\ 0 & 0 \end{pmatrix}(1010)
(1010)\begin{pmatrix} 1 & 0 \\ 1 & 0 \end{pmatrix}(1100)