Chapter 9.2, Problem 15E

In exercise 17-24, find each of the following if possible.

a. A+B b. A-B

c. -3A d. 3A-2B

e. (A+B)2

f. A² − B²

$17.A=\left[\begin{array}{cc}1& 2\\ 3& 4\end{array}\right],B=\left[\begin{array}{cc}-1& 0\\ 2& -3\end{array}\right]$

$18.A=\left[\begin{array}{cc}\frac{1}{3}& 1\\ -1& 2\end{array}\right],B=\left[\begin{array}{cc}1& 0\\ 2& -\frac{1}{2}\end{array}\right]$

$19.A=\left[\begin{array}{cc}2& 3\\ -4& 5\end{array}\right],B=\left[\begin{array}{ccc}1& 0& 2\\ 3& 1& 4\end{array}\right]$

$20.A=\left[\begin{array}{ccc}1& 2& 3\\ -1& -3& 4\end{array}\right],B=\left[\begin{array}{cc}1& 0\\ 2& 3\\ 1& 4\end{array}\right]$

$21.A=\left[\begin{array}{ccc}4& 0& -1\\ -2& 1& 0\\ 0& 1& 3\end{array}\right],B=\left[\begin{array}{ccc}3& 1& 0\\ 1& -4& 2\\ 2& 1& 3\end{array}\right]$

$22.A=\left[\begin{array}{ccc}1& 0& 2\\ 2& 1& 0\\ 0& 1& 3\end{array}\right],B=\left[\begin{array}{ccc}3& -1& 2\\ 0& 2& 1\\ 1& 4& -1\end{array}\right]$

$23.A=\left[\begin{array}{ccc}1& 2& -3\\ 3& 4& 5\\ 2& -1& 0\end{array}\right],B=\left[\begin{array}{ccc}3& 1& 0\\ 1& -4& 2\\ 2& 1& 3\end{array}\right]$

$24.A=\left[\begin{array}{ccc}1& 0& 2\\ 2& 1& 0\\ 0& 1& 3\end{array}\right]B=\left[\begin{array}{ccc}3& -1& 2\\ 0& 2& 1\\ 1& 4& -1\end{array}\right]$