Question: A square matrix is called upper triangular if all of the entries below the main diagonal are zero. Thus, the form of an upper triangular

A square matrix is called upper triangular if all of the entries below the main diagonal are zero. Thus, the form of an upper triangular matrix is

Where the entries marked * are arbitrary. A more formal definition of such a matrix A=[aij] is that aij = 0 if i > j.
Prove that the product of two upper triangular n Ã— n matrices is upper triangular.

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