Chapter 6.5, Problem 4CP

(a)

To determine

To calculate: The order of the product matrices, $A=\left[\begin{array}{cc}2& 4\\ 6& 8\end{array}\right],B=\left[\begin{array}{rrr}\hfill 1& \hfill 2& \hfill 3\\ \hfill 0& \hfill -1& \hfill 2\end{array}\right]$.

(b)

To determine

To calculate: The order of the product matrices $A=\left[\begin{array}{cc}1& 2\\ 5& 10\\ 12& 7\end{array}\right],B=\left[\begin{array}{cc}2& 4\\ 3& 6\\ 9& 1\end{array}\right]$.

(c)

To determine

To calculate: The order of the product matrices $A=\left[\begin{array}{c}5\\ 2\\ 4\end{array}\right],B=\left[\begin{array}{ccc}1& 0& 6\end{array}\right]$.