Let \[A=\left[ \begin{matrix} x+y & y \\ 2x & x-y \\ \end{matrix} \right],B=\left[ \begin{matrix} 2 \\ -1 \\ \end{matrix} \right]\] and \[C=\left[ \begin{matrix} 3 \\ 2 \\ \end{matrix} \right]\] If \[AB=C,\] then what is \[{{A}^{2}}\] equal to?

\[\left[ \begin{matrix} -10 & 5 \\ 4 & 24 \\ \end{matrix} \right]\]

\[\left[ \begin{matrix} 6 & -10 \\ 4 & 26 \\ \end{matrix} \right]\]

\[\left[ \begin{matrix} -5 & -6 \\ -4 & -20 \\ \end{matrix} \right]\]

\[\left[ \begin{matrix} -5 & -7 \\ -5 & 20 \\ \end{matrix} \right]\]

Let \[A=\left[ \begin{matrix} x+y & y \\ 2x & x-y \\ \en

1.	Let \[A=\left[ \begin{matrix} x+y & y \\ 2x & x-y \\ \end{matrix} \right],B=\left[ \begin{matrix} 2 \\ -1 \\ \end{matrix} \right]\] and \[C=\left[ \begin{matrix} 3 \\ 2 \\ \end{matrix} \right]\] If \[AB=C,\] then what is \[{{A}^{2}}\] equal to?
A.	\[\left[ \begin{matrix} 6 & -10 \\ 4 & 26 \\ \end{matrix} \right]\]
B.	\[\left[ \begin{matrix} -10 & 5 \\ 4 & 24 \\ \end{matrix} \right]\]
C.	\[\left[ \begin{matrix} -5 & -6 \\ -4 & -20 \\ \end{matrix} \right]\]
D.	\[\left[ \begin{matrix} -5 & -7 \\ -5 & 20 \\ \end{matrix} \right]\]
Answer» B. \[\left[ \begin{matrix} -10 & 5 \\ 4 & 24 \\ \end{matrix} \right]\]

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Let \[A=\left[ \begin{matrix} x+y & y \\ 2x & x-y \\ \end{matrix} \right],B=\left[ \begin{matrix} 2 \\ -1 \\ \end{matrix} \right]\] and \[C=\left[ \begin{matrix} 3 \\ 2 \\ \end{matrix} \right]\] If \[AB=C,\] then what is \[{{A}^{2}}\] equal to?

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