If \( \mathrm{A} \) is idempotent matrix and \( \mathrm{I} \) is identity matrix such that \( (\...

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If \( \mathrm{A} \) is idempotent matrix and \( \mathrm{I} \) is identity matrix such that \( (\mathrm{I}+\mathrm{A})^{\mathrm{n}}=\mathrm{I}+\left(2^{\mathrm{n}}+\mathrm{k}\right) A \). Then the value of \( \mathrm{k} \) is
P
(1) 0
(2) 1
(3) \( -1 \)
(4) 2
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