Chapter 3.2, Problem 23E

In Problems 5-24, use matrices $A$

through $F$

. In Problems 5-20, perform the indicated operations when possible.

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

$B=\left[\begin{array}{cccc}1& 1& 3& 0\\ 4& 2& 1& 1\\ 3& 2& 0& 1\end{array}\right]$

$C=\left[\begin{array}{cc}5& 3\\ 1& 2\end{array}\right]$

$D=\left[\begin{array}{cc}4& 2\\ 3& 5\end{array}\right]$

$E=\left[\begin{array}{ccc}1& 0& 4\\ 5& 1& 0\end{array}\right]$

$F=\left[\begin{array}{cccc}1& 0& -1& 3\\ 2& -1& 3& -4\end{array}\right]$

Does $CD=DC?$

(See Problems 5 and 6.)