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If $A = [\begin{array}{ll} i 0 \\ 0 i \end{array}], n \in N,$ then $A^{4 n}$ equals

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0 ii 0

0 0i 0

1 00 1

0 - ii 0

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Correct option is C

We have, A=i 00 iClearly, A is a diagonal matrix. Therefore, A4n is also a diagonal matrix such thatA4n=i4n00i4n=1 00 1

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If A=i 00 i,n∈N, then A4n equals

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If $A = [\begin{array}{ll} i 0 \\ 0 i \end{array}], n \in N,$ then $A^{4 n}$ equals