What is the product (1234)(01)\begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix} \begin{pmatrix} 0 \\ 1 \end{pmatrix}(1324)(01)?
(24)\begin{pmatrix} 2 \\ 4 \end{pmatrix}(24)
(13)\begin{pmatrix} 1 \\ 3 \end{pmatrix}(13)
(37)\begin{pmatrix} 3 \\ 7 \end{pmatrix}(37)
(00)\begin{pmatrix} 0 \\ 0 \end{pmatrix}(00)