Answer
$A^{-1}=\begin{bmatrix}
-4 &-5\\
-1 & -1
\end{bmatrix}$
Work Step by Step
Using the equation for the inverse of a matrix, we find:
$A^{-1}=\frac{1}{4-5}\begin{bmatrix}
4 &5\\
1 & 1
\end{bmatrix}=-1\begin{bmatrix}
4 &5\\
1 & 1
\end{bmatrix}=\begin{bmatrix}
-4 &-5\\
-1 & -1
\end{bmatrix}$
