2. Let S be any ring and let n > 2 be an integer. Prove that if A is any strictly upper triangular matrix in Mn(S) then
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2. Let S be any ring and let n > 2 be an integer. Prove that if A is any strictly upper triangular matrix in Mn(S) then
2. Let S be any ring and let n > 2 be an integer. Prove that if A is any strictly upper triangular matrix in Mn(S) then A” = 0. (Recall, a strictly upper triangular matrix is one whose entries on and below the main diagonal are all zero.)
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