A) \[\left[ \begin{matrix} -4 & 2 \\ 1 & 4 \\ \end{matrix} \right]\]
B) \[\left[ \begin{matrix} -4 & -2 \\ -1 & 4 \\ \end{matrix} \right]\]
C) \[\left[ \begin{matrix} 4 & -2 \\ -1 & -4 \\ \end{matrix} \right]\]
D) \[\left[ \begin{matrix} 4 & -2 \\ 1 & -4 \\ \end{matrix} \right]\]
Correct Answer: C
Solution :
\[A=A',B=B'\] \[A+B=\left[ \begin{matrix} 2 & 3 \\ 5 & -1 \\ \end{matrix} \right]\] ...(1) \[A'+B'=\left[ \begin{matrix} 2 & 5 \\ 3 & -1 \\ \end{matrix} \right]\] \[A-B=\left[ \begin{matrix} 2 & 5 \\ 3 & -1 \\ \end{matrix} \right]\] ...(2) After adding Eq. (1) & (2) \[A=\left[ \begin{matrix} 2 & 4 \\ 4 & -1 \\ \end{matrix} \right],B=\left[ \begin{matrix} 0 & -1 \\ 1 & 0 \\ \end{matrix} \right]\] \[AB=\left[ \begin{matrix} 4 & -2 \\ -1 & -4 \\ \end{matrix} \right]\]You need to login to perform this action.
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