If \( A \) and \( B \) are square matrices of the same order such t...

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If \( A \) and \( B \) are square matrices of the same order such that \( A^{2}=A, B^{2}=B, A B=B A=O \), then
(a) \( A B^{2}=O \)
(b) \( (A+B)^{2}=A+B \)
(c) \( (A-B)^{2}=A-B \)
(d) \( (A-B)^{2}=A+B \)
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