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If $A = [\begin{matrix} i & 0 \\ 0 & i \end{matrix}], n \in N$ , then A⁴ⁿ equals

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0ii0

0000

1001

0i0i

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Correct option is C

We have, A2=i00ii00i=i200i2=-100-1A4=-100-1-100-1=1001∴A4n=10011001.....1001n times=1001

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If A=i00i,n ∈N, then A4n equals

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If $A = [\begin{matrix} i & 0 \\ 0 & i \end{matrix}], n \in N$ , then A⁴ⁿ equals