Chapter 11.0A, Problem 21E

To determine

(a)

To find:

The product $AC$ of the matrices $A=\left[\begin{array}{cc}5& 0\\ 22& -3\\ 18& 9\end{array}\right]$ and $C=\left[\begin{array}{c}23\\ 41\end{array}\right]$, if it exists.

To determine

(b)

To find:

The product $CA$ of the matrices $C=\left[\begin{array}{c}23\\ 41\end{array}\right]$ and $A=\left[\begin{array}{cc}5& 0\\ 22& -3\\ 18& 9\end{array}\right]$, if it exists.