Chapter 11.CR, Problem 45E

To determine

To Find:

The products $AB$ and $BA$ and the given matrices $A=\left[\begin{array}{cc}2& -5\\ -2& 6\end{array}\right]$ and $B=\left[\begin{array}{cc}3& \frac{5}{2}\\ 1& 1\end{array}\right]$ are inverses of each other.