Chapter 7.2, Problem 52E

(a)

To determine

To calculate: The value of product $AB$, where $A=\left[\begin{array}{rrr}\hfill 1& \hfill 3& \hfill -2\\ \hfill -5& \hfill 10& \hfill 1\end{array}\right]$ and $B=\left[\begin{array}{c}3\\ 3\\ 3\end{array}\right]$.

(b)

To determine

To calculate: The value of product $BA$, where $A=\left[\begin{array}{rrr}\hfill 1& \hfill 3& \hfill -2\\ \hfill -5& \hfill 10& \hfill 1\end{array}\right]$ and $B=\left[\begin{array}{c}3\\ 3\\ 3\end{array}\right]$.

(c)

To determine

To calculate: The value of product $A^2$, where $A=\left[\begin{array}{rrr}\hfill 1& \hfill 3& \hfill -2\\ \hfill -5& \hfill 10& \hfill 1\end{array}\right]$ and $B=\left[\begin{array}{c}3\\ 3\\ 3\end{array}\right]$.