Find the inverse of the matrix (if it exists): $ \begin{bmatrix} 2 & 1& 3 \\ 4 &- 1 & 0 \\ -7 & 2 & 1 \\ \end{bmatrix} $

Question

$\begin{array}{1 1} \frac{1}{-3}\begin{bmatrix}-1 & 5 & 3\\-4 & 23 & 12\\1 & -11 & -6\end{bmatrix} \\\frac{1}{3}\begin{bmatrix}-1 & 5 & 3\\-4 & 23 & 12\\1 & -11 & -6\end{bmatrix} \\-3\begin{bmatrix}-1 & 5 & 3\\-4 & 23 & 12\\1 & -11 & -6\end{bmatrix} \\ 3\begin{bmatrix}-1 & 5 & 3\\-4 & 23 & 12\\1 & -11 & -6\end{bmatrix} \end{array} $