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22 Find the PALU factorizations (and check them) for 0 1 1 A = 1 0 1 and A = 2 3 4 1 2 0 24 1 1 1 1

22 Find the PALU factorizations (and check them) for 0 1 1 A = 1 0 1 and A = 2 3 4 1 2 0 24 1 1 1 1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Questions 22-24 are about the factorizations PA = LU and A = L₁ P₁U₁. Find the PA = LU factorizations (and check them) for 22 120 A = 0 1 1 101 2 3 4 and A = 24 1 1 1 23 Find a 4 by 4 permutation matrix (call it A) that needs 3 row exchanges to reach the end of elimination. For this matrix, what are its factors P, L, and U? 24 Factor the following matrix into PA = LU. Factor it also into A = L₁P₁U₁ (hold the exchange of row 3 until 3 times row 1 is subtracted from row 2): 0 1 2 A 0 = 3 8 2 1 1
Transcribed Image Text:Questions 22-24 are about the factorizations PA = LU and A = L₁ P₁U₁. Find the PA = LU factorizations (and check them) for 22 120 A = 0 1 1 101 2 3 4 and A = 24 1 1 1 23 Find a 4 by 4 permutation matrix (call it A) that needs 3 row exchanges to reach the end of elimination. For this matrix, what are its factors P, L, and U? 24 Factor the following matrix into PA = LU. Factor it also into A = L₁P₁U₁ (hold the exchange of row 3 until 3 times row 1 is subtracted from row 2): 0 1 2 A 0 = 3 8 2 1 1
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