Chapter 6.5, Problem 29E

To determine

Whether the provided matrices $A=\left[\begin{array}{rr}\hfill 3& \hfill -1\\ \hfill -4& \hfill 2\end{array}\right],B=\left[\begin{array}{rr}\hfill 1& \hfill \frac{1}{2}\\ \hfill 2& \hfill \frac{3}{2}\end{array}\right]$ are inverses of each other by computing their products.