Find the inverse of the matrix A=(2132)A = \begin{pmatrix} 2 & 1 \\ 3 & 2 \end{pmatrix}A=(2312).
(2−1−32)\begin{pmatrix} 2 & -1 \\ -3 & 2 \end{pmatrix}(2−3−12)
(1/21/312)\begin{pmatrix} 1/2 & 1/3 \\ 1 & 2 \end{pmatrix}(1/211/32)
14(2−1−32)\frac{1}{4}\begin{pmatrix} 2 & -1 \\ -3 & 2 \end{pmatrix}41(2−3−12)
(−131/2−1/2)\begin{pmatrix} -1 & 3 \\ 1/2 & -1/2 \end{pmatrix}(−11/23−1/2)