Chapter 11.0A, Problem 22E

To determine

(a)

To find:

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

To determine

(b)

To find:

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