A) \[\left[ \begin{matrix} -3 & -2 \\ 10 & 7 \\ \end{matrix} \right]\]
B) \[\left[ \begin{matrix} -3 & 10 \\ -2 & 7 \\ \end{matrix} \right]\]
C) \[\left[ \begin{matrix} -3 & 10 \\ 7 & -2 \\ \end{matrix} \right]\]
D) \[\left[ \begin{matrix} 3 & 10 \\ 2 & 7 \\ \end{matrix} \right]\]
Correct Answer: B
Solution :
\[AB=\left[ \begin{matrix} 1 & -2 & 1 \\ 2 & 1 & 3 \\ \end{matrix} \right]\left[ \begin{matrix} 2 & 1 \\ 3 & 2 \\ 1 & 1 \\ \end{matrix} \right]\] \[AB=\left[ \begin{matrix} -3 & -2 \\ 10 & 7 \\ \end{matrix} \right]\Rightarrow {{(AB)}^{T}}=\left[ \begin{matrix} -3 & 10 \\ -2 & 7 \\ \end{matrix} \right]\].You need to login to perform this action.
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