A) \[\left[ \begin{matrix} 0 & 1 \\ 1 & 0 \\ \end{matrix} \right]\]
B) \[\left[ \begin{matrix} 1 & 0 \\ 0 & 1 \\ \end{matrix} \right]\]
C) \[\left[ \begin{matrix} 1 & 1 \\ 0 & 0 \\ \end{matrix} \right]\]
D) \[\left[ \begin{matrix} -1 & 1 \\ 0 & -1 \\ \end{matrix} \right]\]
Correct Answer: B
Solution :
\[A=\left[ \begin{matrix} 0 & i \\ -i & 0 \\ \end{matrix} \right]\Rightarrow {{A}^{2}}=\left[ \begin{matrix} 1 & 0 \\ 0 & 1 \\ \end{matrix} \right]=I\] Þ \[{{({{A}^{2}})}^{20}}={{A}^{40}}={{(I)}^{20}}=\left[ \begin{matrix} 1 & 0 \\ 0 & 1 \\ \end{matrix} \right]\].
You need to login to perform this action.
You will be redirected in
3 sec
