A) \[4A-3I\]
B) \[3A-4I\]
C) \[A-I\]
D) \[A+I\]
E) none of these
Correct Answer: A
Solution :
\[{{A}^{2}}=\left[ \begin{matrix} 2 & -1 \\ -1 & 2 \\ \end{matrix} \right]\left[ \begin{matrix} 2 & -1 \\ -1 & 2 \\ \end{matrix} \right]\] \[=\left[ \begin{matrix} 4+1 & -2-2 \\ -2-2 & 1+4 \\ \end{matrix} \right]=\left[ \begin{matrix} 5 & -4 \\ -4 & 5 \\ \end{matrix} \right]\] \[=4A-3I\]You need to login to perform this action.
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