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, show that AB=BA || show that AB=-BA If A,B,A+I,A+B are idempotent matrices, show that AB=BA || show that AB=-BA
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