Mathematics, 28.07.2021 21:30 quintonps12

Let U be a matrix where u_ij = 0 if i > j, and L be a matrix where l_ij = 0 if i < j. (a) U is called an upper triangular matrix and L is a lower tri-angular matrix. Explain why.
(b) Prove or disprove: The sum of two upper triangular matrices is an upper triangular matrix.
(c) Prove or disprove: The product of two upper triangular matrices is an upper triangular matrix.

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Let U be a matrix where u_ij = 0 if i > j, and L be a matrix where l_ij = 0 if i < j. (a) U i...