A) \[16A\]
B) 15A
C) 32A
D) 8A
Correct Answer: C
Solution :
\[A=\left[ \begin{align} & 2\,\,\,\,0\,\,\,\,0 \\ & 0\,\,\,\,2\,\,\,\,0 \\ & 0\,\,\,\,0\,\,\,\,2 \\ \end{align} \right]\] \[A=2.\left[ \begin{align} & 1\,\,\,\,0\,\,\,\,0 \\ & 0\,\,\,\,1\,\,\,\,0 \\ & 0\,\,\,\,0\,\,\,\,1 \\ \end{align} \right]\] Similarly, \[{{A}^{5}}=32.\left[ \begin{align} & 1\,\,\,\,0\,\,\,\,0 \\ & 0\,\,\,\,1\,\,\,\,0 \\ & 0\,\,\,\,0\,\,\,\,1 \\ \end{align} \right]=32A\] Hence option [c] is correctYou need to login to perform this action.
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