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Nilpotent Matrix

If A = left b...

Question

If $A = (\begin{matrix} - i & 0 0 & i \end{matrix}), t h e n A^{2} =$

A

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B

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C

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D

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Solution

The correct option is C

$A^{2} = [\begin{matrix} - i & 0 0 & i \end{matrix}] [\begin{matrix} - i & 0 0 & i \end{matrix}] = [\begin{matrix} - 1 & 0 0 & - 1 \end{matrix}]$

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