Chapter 6.3, Problem 5E

Verifying the Inverse of a Matrix Calculate the products AB and BA to verify that B is the inverse of A.

$A=\left[\begin{array}{rrr}\hfill 1& \hfill 3& \hfill -1\\ \hfill 1& \hfill 4& \hfill 0\\ \hfill -1& \hfill -3& \hfill 2\end{array}\right]$ $B=\left[\begin{array}{rrr}\hfill 8& \hfill -3& \hfill 4\\ \hfill -2& \hfill 1& \hfill -1\\ \hfill 1& \hfill 0& \hfill 1\end{array}\right]$