Compute the product ABABAB where A=(1234)A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}A=(1324) and B=(2011)B = \begin{pmatrix} 2 & 0 \\ 1 & 1 \end{pmatrix}B=(2101).
(42104)\begin{pmatrix} 4 & 2 \\ 10 & 4 \end{pmatrix}(41024)
(2034)\begin{pmatrix} 2 & 0 \\ 3 & 4 \end{pmatrix}(2304)
(3255)\begin{pmatrix} 3 & 2 \\ 5 & 5 \end{pmatrix}(3525)
(53115)\begin{pmatrix} 5 & 3 \\ 11 & 5 \end{pmatrix}(51135)