(b) Prove that the product of two upper triangular matrices is an upper triangular matrix. (c) Prove that the product of two lower triangular matrices is a lower triangular matrix.
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An upper triangular matrix is a special kind of square matrix where all the entries below the main diagonal are zero. A = [a_ij] and B = [b_ij] where a_ij = 0 for i > j and b_ij = 0 for i > j. We want to show that the product C = AB is also an upper triangular Show more…
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