A square matrix \( A \) is said to be an idempotent matrix if \( A^...

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A square matrix \( A \) is said to be an idempotent matrix
if \( A^{2}=A \).
If \( A \) is a non-singular idempotent matrix, then
(a) \( A=I_{n} \)
(b) \( A=O \)
(c) \( A+A^{\prime}=O \)
(d) \( A=-I_{n} \)
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