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 \( A^{2}=A \).
Suppose \( A \) is an idempotent matrix, and \( B=I-A \), then
(a) \( B \) is an idempotent
(b) \( A B=I_{n} \)
(c) \( B A^{\prime}=I_{n} \)
(d) \( B^{2}=I_{n} \)
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