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 At h e n(A+B)^r`
can be expanded as binomial expansion.
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