Answer
$$A^{-1}=\left[\begin{array}{ccc}{-19} &{-33} \\{-4}& {-7} \end{array}\right].$$
Work Step by Step
Let the matrix $A$ be given by
$$A=\left[\begin{array}{ccc}{-7} &{33} \\{4}& {-19} \end{array}\right].$$
Since $ad-bc=133-132=1\neq 0$, then $A$ has inverse given by
$$A^{-1}=\left[\begin{array}{ccc}{-19} &{-33} \\{-4}& {-7} \end{array}\right].$$