Chapter 1.5, Problem 12E

Let

$\begin{array}{ccc}A=\left[\begin{array}{cc}\begin{array}{l}5\\ 3\end{array}& \begin{array}{l}3\\ 2\end{array}\end{array}\right],& B=\left[\begin{array}{cc}\begin{array}{l}6\\ 2\end{array}& \begin{array}{l}2\\ 4\end{array}\end{array}\right],& C=\left[\begin{array}{cc}\begin{array}{l}4\\ -6\end{array}& \begin{array}{l}-2\\ 3\end{array}\end{array}\right]\end{array}$

Solve each of the following matrix equations.

(a) $AX+B=C$

(b) $XA+B=C$

(c) $AX+B=C$

(d) $XA+C=X$