Chapter 6.2, Problem 31E

In Exercise 33-42, find each product if possible.

a. AB   b. BA

$33.A=\left[\begin{array}{cc}1& 2\\ 3& 4\end{array}\right],B=\left[\begin{array}{cc}-2& 1\\ 3& 5\end{array}\right]$

$34.A=\left[\begin{array}{cc}3& 2\\ 1& 5\\ 0& 1\end{array}\right],B=\left[\begin{array}{ccc}1& 3& -2\\ 2& 5& 0\end{array}\right]$

$35.A=\left[\begin{array}{ccc}2& -1& 0\\ -3& 1& 2\end{array}\right],B=\left[\begin{array}{cc}1& 5\\ -2& 3\\ 4& 0\end{array}\right]$

$36.A=\left[\begin{array}{ccc}1& 2& 3\\ 4& 5& 6\end{array}\right],B=\left[\begin{array}{ccc}-1& -3& -6\\ 2& 5& 7\end{array}\right]$

$37.A=\left[\begin{array}{ccc}2& 3& 5\end{array}\right],B=\left[\begin{array}{c}1\\ -2\\ 4\end{array}\right]$

$38.A=\left[\begin{array}{c}1\\ 2\\ -1\end{array}\right],B=\left[\begin{array}{ccc}-3& 0& 2\end{array}\right]$

$39.A=\left[\begin{array}{ccc}1& 2& 3\end{array}\right],B=\left[\begin{array}{ccc}1& 2& -1\\ 0& 3& 1\\ 2& 0& -3\end{array}\right]$

$40.A=\left[\begin{array}{ccc}4& -6& 2\\ 2& 3& 0\\ 1& 2& -3\end{array}\right],B=\left[\begin{array}{ccc}-2& 0& 1\end{array}\right]$

$41.A=\left[\begin{array}{ccc}2& 0& 1\\ 1& 4& 2\\ 3& -1& 0\end{array}\right],B=\left[\begin{array}{ccc}3& 1& 0\\ -1& 2& 0\\ 4& 5& 2\end{array}\right]$

$42.A=\left[\begin{array}{ccc}3& -1& 2\\ 0& 4& -3\\ 1& -2& 2\end{array}\right],B=\left[\begin{array}{ccc}2& -5& 0\\ -1& 2& -1\\ 3& 0& 2\end{array}\right]$