Solved: TF. In parts (a)(e) determine whether the statement is true or false, and
Chapter 9, Problem TF(choose chapter or problem)
TF. In parts (a)(e) determine whether the statement is true or false, and justify your answer. (a) Every square matrix has an LU-decomposition. (b) If a square matrix A is row equivalent to an upper triangular matrix U, then A has an LU-decomposition. (c) IfL1, L2,...,Lk are n n lower triangular matrices, then the product L1L2 Lk is lower triangular. (d) If an invertible matrix A has an LU-decomposition, then A has a unique LDU-decomposition. (e) Every square matrix has a P LU-decomposition.
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