Answer
A does not have an inverse.
Work Step by Step
If $A=\left[\begin{array}{ll}
a & b\\
c & d
\end{array}\right]$, then $A^{-1}=\displaystyle \frac{1}{ad-bc}\left[\begin{array}{ll}
d & -b\\
-c & a
\end{array}\right]$.
The matrix $A$ is invertible if and only if $ad-bc\neq 0$.
--------------------
$ad-bc=6(1)-(-3)(-2)=6-6=0$
so,
A does not have an inverse.