What is the result of the Gaussian elimination of (1123)\begin{pmatrix} 1 & 1 \\ 2 & 3 \end{pmatrix}(1213)?
(1101)\begin{pmatrix} 1 & 1 \\ 0 & 1 \end{pmatrix}(1011)
(1001)\begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}(1001)
(1100)\begin{pmatrix} 1 & 1 \\ 0 & 0 \end{pmatrix}(1010)
(1011)\begin{pmatrix} 1 & 0 \\ 1 & 1 \end{pmatrix}(1101)