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