(a) Explain why and are all legitimate permuted LU factorizations of the same matrix. List the elementary...

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(a) Explain why

and

are all legitimate permuted LU factorizations of the same matrix. List the elementary row operations that are being used in each case.
(b) Use each of the factorizations to solve the linear system

Do you always obtain the same result? Explain why or why not.

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Question Posted: Jun 17, 2016 08:23 AM

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(a) Explain why and are all legitimate permuted LU factorizations of the same matrix. List the elementary...

Question:

1 0 012 1 ,001 2-2 0 10 0 1 1 - 0 003 012 310 210 112 200 022 001 0 110 2 2 310 210 112 200 022 001 100 101 0-0 510 112

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a They are all of the form PA LU where P is a permutation matrix In the firs...View the full answer

Applied Linear Algebra

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