Answer
See below
Work Step by Step
We find the determinant
$3*-3+10 = 1 $
Use the formula
\[
M=\frac{1}{ad-bc}
\left[ {\begin{array}{cc}
d &-b \\
-c & a \\
\end{array} } \right]
\]
to get
\[
M=
\left[ {\begin{array}{cc}
3 & 5 \\
-2 & -3 \\
\end{array} } \right]
\]