Given A=(1111)A = \begin{pmatrix} 1 & 1 \\ 1 & 1 \end{pmatrix}A=(1111), what is A2A^2A2?
(1111)\begin{pmatrix} 1 & 1 \\ 1 & 1 \end{pmatrix}(1111)
(2222)\begin{pmatrix} 2 & 2 \\ 2 & 2 \end{pmatrix}(2222)
(0000)\begin{pmatrix} 0 & 0 \\ 0 & 0 \end{pmatrix}(0000)
(1001)\begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}(1001)