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

Question

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

TuteeHUB · Accepted Answer

$\left[ {\begin{array}{*{20}{c}} { - 10}&5\ 4&{24} \end{array}} \right]$

TuteeHUB · Answer

$\left[ {{\rm{\;}}\begin{array}{*{20}{c}} 6&{ - 10}\ 4&{26} \end{array}} \right]$

TuteeHUB · Answer

$\left[ {\begin{array}{*{20}{c}} { - 5}&{ - 6}\ { - 4}&{ - 20} \end{array}} \right]$

TuteeHUB · Answer

$\left[ {\begin{array}{*{20}{c}} { - 5}&{ - 7}\ { - 5}&{20} \end{array}} \right]{\rm{}}$

1.	\({\rm{A}} = \left[ {\begin{array}{{20}{c}} {{\rm{x}} + {\rm{y}}}&{\rm{y}}\\ {2{\rm{x}}}&{{\rm{x}} - {\rm{y\;}}} \end{array}} \right]\), \({\rm{B}} = \left[ {\begin{array}{{20}{c}} 2\\ { - 1} \end{array}} \right]\) and \({\rm{C}} = \left[ {\begin{array}{*{20}{c}} 3\\ 2 \end{array}} \right]\) If AB = C, then what is A2 equal to?
A.	\(\left[ {{\rm{\;}}\begin{array}{*{20}{c}} 6&{ - 10}\\ 4&{26} \end{array}} \right]\)
B.	\(\left[ {\begin{array}{*{20}{c}} { - 10}&5\\ 4&{24} \end{array}} \right]\)
C.	\(\left[ {\begin{array}{*{20}{c}} { - 5}&{ - 6}\\ { - 4}&{ - 20} \end{array}} \right]\)
D.	\(\left[ {\begin{array}{*{20}{c}} { - 5}&{ - 7}\\ { - 5}&{20} \end{array}} \right]{\rm{}}\)
Answer» B. \(\left[ {\begin{array}{*{20}{c}} { - 10}&5\\ 4&{24} \end{array}} \right]\)

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