Question: (a) Explain why the product of two lower triangular matrices is lower triangular. (b) What can you say concerning the diagonal entries of the product

(a) Explain why the product of two lower triangular matrices is lower triangular.
(b) What can you say concerning the diagonal entries of the product of two lower triangular matrices?
(c) Explain why the product of two special lower triangular matrices is also special lower triangular.

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