If \( A, B, A+I, A+B \) are idempotent matrices, then (A) \( A B+B A=O \) (B) \( A+B=O \) (C) \(...

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If \( A, B, A+I, A+B \) are idempotent matrices, then
(A) \( A B+B A=O \)
(B) \( A+B=O \)
(C) \( A B=B A \)
(D) None of these
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