(1001)\left(\begin{array}{ll}1 & 0 \\0 & 1\end{array}\right)(1001)
(1011)\left(\begin{array}{ll}1 & 0 \\1 & 1\end{array}\right)(1101)
impossible
(1101)\left(\begin{array}{ll}1 & 1 \\0 & 1\end{array}\right)(1011)