## Elementary Linear Algebra 7th Edition

$$A^{-1}=\left[\begin{array}{ccc}{-19} &{-33} \\{-4}& {-7} \end{array}\right].$$
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 $$A^{-1}=\left[\begin{array}{ccc}{-19} &{-33} \\{-4}& {-7} \end{array}\right].$$