A = $\left( \begin{array} { l l } a _ { 11 } & a _ { 12 } \\a _ { 21 } & a _ { 22 }\end{array} \right)$

Essay

A = $\left( \begin{array} { l l } a _ { 11 } & a _ { 12 } \\a _ { 21 } & a _ { 22 }\end{array} \right)$ , B = $\left( \begin{array} { l l } b _ { 11 } & b _ { 12 } \\b _ { 21 } & b _ { 22 }\end{array} \right)$ , and C = $\left( \begin{array} { l l l } c _ { 11 } & c _ { 12 } & c _ { 13 } \\c _ { 21 } & c _ { 22 } & c _ { 23 }\end{array} \right)$ show that $( A + B ) ^ { \prime }$ = $A ^ { \prime }$ + $B ^ { \prime }$ and $( A C ) ^ { \prime }$ = $C ^ { \prime }$ $A ^ { \prime }$