\({\rm{A}} = \left[ {\begin{array}{*{20}{c}} {{\rm{x}} + {\rm{y}}}&{\rm{y}}\\ {\rm{x}}&{{\rm{x}} - {\rm{y}}} \end{array}} \right],{\rm{\;B}} = \left[ {\begin{array}{*{20}{c}} 3\\ { - 2} \end{array}} \right]\) and \({\rm{C}} = \left[ {\begin{array}{*{20}{c}} 4\\ { - 2} \end{array}} \right]\)
If AB = C, then what is A2 equal to?
1
\(\left[ {\begin{array}{*{20}{c}} 4&8\\ { - 4}&{ - 16} \end{array}} \right]\)
2
\(\left[ {\begin{array}{*{20}{c}} 4&{ - 4}\\ 8&{ - 16} \end{array}} \right]\)
3
\(\left[ {\begin{array}{*{20}{c}} { - 4}&{ - 8}\\ 4&{12} \end{array}} \right]\)
4
\(\left[ {\begin{array}{*{20}{c}} { - 4}&{ - 8}\\ 8&{12} \end{array}} \right]\)