If A= ( array lll 0 & 0 & 1 0 & 1 & 0 1 & 0 & 0 array ) , then A⁴ is equal to

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Correct answer: C. I

We have, A= [ array lll 0 & 0 & 1 0 & 1 & 0 1 & 0 & 0 array ]A²= [ array lll 0 & 0 & 1 0 & 1 & 0 1 & 0 & 0 array ] [ array lll 0 & 0 & 1 0 & 1 & 0 1 & 0 & 0 array ]= [ array lll 1 & 0 & 0 0 & 1 & 0 0 & 0 & 1 array ]A⁴=A² A²= [ array lll 1 & 0 & 0 0 & 1 & 0 0 & 0 & 1 array ] [ array lll 1 & 0 & 0 0 & 1 & 0 0 & 0 & 1 array ]= [ array lll 1 & 0 & 0 0 & 1 & 0 0 & 0 & 1 array ]=I

If A= ( array lll 0 & 0 & 1 0 & 1 & 0 1 & 0 & 0 array ) , then A⁴ is equal to

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