What is the product (2002)(1234)\begin{pmatrix} 2 & 0 \\ 0 & 2 \end{pmatrix} \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}(2002)(1324)?
(2468)\begin{pmatrix} 2 & 4 \\ 6 & 8 \end{pmatrix}(2648)
(1234)\begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}(1324)
(4264)\begin{pmatrix} 4 & 2 \\ 6 & 4 \end{pmatrix}(4624)
(2002)\begin{pmatrix} 2 & 0 \\ 0 & 2 \end{pmatrix}(2002)