If A=(0000)A = \begin{pmatrix} 0 & 0 \\ 0 & 0 \end{pmatrix}A=(0000), what is the product ABABAB for any 2×22 \times 22×2 matrix BBB?
BBB
III
(0000)\begin{pmatrix} 0 & 0 \\ 0 & 0 \end{pmatrix}(0000)
AAA