Let L1, L2, ... , Lk be unit lower triangular matrices.(a) Prove that L2L1 is unit lower

Chapter 3, Problem 72

(choose chapter or problem)

Let L1, L2, ... , Lk be unit lower triangular matrices.(a) Prove that L2L1 is unit lower triangular.(b) Use induction to prove that Lk L2L1 is unit lowertriangular.(c) Prove that L1i is unit lower triangular for i = 1, ... , k.(d) Prove that (Lk L2L1)1 is unit lower triangular.

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