A) \[\left[ \begin{matrix} 1 & 0 \\ 0 & -1 \\ \end{matrix} \right]\]
B) \[\left[ \begin{matrix} -1 & 0 \\ 0 & -1 \\ \end{matrix} \right]\]
C) \[\left[ \begin{matrix} 1 & 0 \\ 0 & 1 \\ \end{matrix} \right]\]
D) \[\left[ \begin{matrix} -1 & 0 \\ 0 & 1 \\ \end{matrix} \right]\]
Correct Answer: B
Solution :
\[A=\left[ \begin{matrix} i & 0 \\ 0 & i \\ \end{matrix} \right]\]; \[{{A}^{2}}=A.\,A=\left[ \begin{matrix} i & 0 \\ 0 & i \\ \end{matrix} \right]\,\left[ \begin{matrix} i & 0 \\ 0 & i \\ \end{matrix} \right]\] \[{{A}^{2}}=\left[ \begin{matrix} -1 & 0 \\ 0 & -1 \\ \end{matrix} \right]\], \[[\because {{i}^{2}}=-1]\].You need to login to perform this action.
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