Compute the product ABABAB where A=(1234)A = \begin{pmatrix}1 & 2 \\ 3 & 4\end{pmatrix}A=(1324) and B=(0110)B = \begin{pmatrix}0 & 1 \\ 1 & 0\end{pmatrix}B=(0110).
(2143)\begin{pmatrix}2 & 1 \\ 4 & 3\end{pmatrix}(2413)
(1234)\begin{pmatrix}1 & 2 \\ 3 & 4\end{pmatrix}(1324)
(0230)\begin{pmatrix}0 & 2 \\ 3 & 0\end{pmatrix}(0320)
(2314)\begin{pmatrix}2 & 3 \\ 1 & 4\end{pmatrix}(2134)