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 1 (71.93 KiB) Viewed 107 times

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.)