Chapter 1.9, Problem 45E

The following matrices are used in Exercises $35-45$.

$A^{-1}=\left[\begin{array}{cc}3& 1\\ 0& 2\end{array}\right],B=\left[\begin{array}{cc}1& 2\\ 2& 1\end{array}\right],C^{-1}=\left[\begin{array}{cc}-1& 1\\ 1& 2\end{array}\right]$.

$\left(9\right)$

In Exercises $35-45$, use Theorem $17$ and the matrices in $\left(9\right)$ to form $Q^{-1}$, where $Q$ is the given matrix.

$\mathit{ }\mathit{ }Q=\left(AC\right)B^{-1}$