If A=(1234)A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}A=(1324), find the matrix XXX such that AX=(0110)AX = \begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix}AX=(0110).
(−1−20.51)\begin{pmatrix} -1 & -2 \\ 0.5 & 1 \end{pmatrix}(−10.5−21)
(12−0.5−1)\begin{pmatrix} 1 & 2 \\ -0.5 & -1 \end{pmatrix}(1−0.52−1)
(−110.5−0.5)\begin{pmatrix} -1 & 1 \\ 0.5 & -0.5 \end{pmatrix}(−10.51−0.5)
(1−2−0.51.5)\begin{pmatrix} 1 & -2 \\ -0.5 & 1.5 \end{pmatrix}(1−0.5−21.5)