Question: A matrix A is called upper triangular if a;; = 0 whenever i > j. Explain why the name upper triangular is appropriate for this

A matrix A is called upper triangular if a;; = 0 whenever i > j. Explain why the name "upper triangular" is appropriate for this type of matrix.Prove/disprove: Provided the sum exists, the sum of two upper triangular matrices is an upper triangular matrix.Prove/ disprove: Provided the product exists, the product of two upper triangular matrices is an upper triangular matrix

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