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

Question

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

TuteeHUB · Accepted Answer

NA

TuteeHUB · Answer

$\left[ {\begin{array}{*{20}{c}} 4&8\ { - 4}&{ - 16} \end{array}} \right]$

TuteeHUB · Answer

$\left[ {\begin{array}{*{20}{c}} 4&{ - 4}\ 8&{ - 16} \end{array}} \right]$

TuteeHUB · Answer

$\left[ {\begin{array}{*{20}{c}} { - 4}&{ - 8}\ 4&{12} \end{array}} \right]$

TuteeHUB · Answer

$\left[ {\begin{array}{*{20}{c}} { - 4}&{ - 8}\ 8&{12} \end{array}} \right]$

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

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