A) \[\left[ \begin{matrix} 1 & 0 \\ 0 & 1 \\ \end{matrix} \right]\]
B) \[\left[ \begin{matrix} 2 & 0 \\ 0 & 2 \\ \end{matrix} \right]\]
C) \[\left[ \begin{matrix} -3 & 0 \\ 0 & -3 \\ \end{matrix} \right]\]
D) \[\left[ \begin{matrix} 3 & 0 \\ 0 & 3 \\ \end{matrix} \right]\]
Correct Answer: C
Solution :
Given, \[2X+3Y=O\] .....(i) and \[X+2Y=I\] ??(ii) Where \[O=\left[ \begin{matrix} 0 & 0 \\ 0 & 0 \\ \end{matrix} \right]\] and \[I=\left[ \begin{matrix} 1 & 0 \\ 0 & 1 \\ \end{matrix} \right]\] On solving Eqs. (i) and (ii), we get \[X=-3I=\left[ \begin{matrix} -3 & 0 \\ 0 & -3 \\ \end{matrix} \right]\]You need to login to perform this action.
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