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Statement 1: Let A ,B be two square matr...

Statement 1: Let `A ,B` be two square matrices of the same order such that `A B=B A ,A^m=O ,n dB^n=O` for some positive integers `m ,n ,` then there exists a positive integer `r` such that `(A+B)^r=Odot` Statement 2: If `A B=B A then (A+B)^r` can be expanded as binomial expansion.

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