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Given the linear system Ax = b 1 3 -1 -1 -2 5 | 1.5 6.5 7.5 10.5 1 0 -1 1 [x1] 0][1 0|o ,and A LU decomposition is A = 1.5 2 1 o||0 0 2 3 -1 2 0.25 x2 b2 4 W x3 bs 1 3 0 1 |-2 -7.5 -3 -3.375][x4 -2 -1.5 1 1]lo o The inverse for the 4th column of A is equal to

Given the linear system Ax = b 1 3 -1 -1 -2 5 | 1.5 6.5 7.5 10.5 1 0 -1 1 [x1] 0][1 0|o ,and A LU decomposition is A = 1.5 2 1 o||0 0 2 3 -1 2 0.25 x2 b2 4 W x3 bs 1 3 0 1 |-2 -7.5 -3 -3.375][x4 -2 -1.5 1 1]lo o The inverse for the 4th column of A is equal to

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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Given the linear system Ax = b -1 2 1 0 -1 1 0 0||0 1 1 3 [x1] 0][1 3 -1 2] 0. 25 x2 b2 -1 -2 5 | 1.5 6.5 7.5 10.5 b3 4 w ,and A LU decomposition is A = 1.5 2 1 0|o o 1 3 x3 [-2 -7.5 -3 -3.375][x4] -2 -1.51 1][o _o o 1. The inverse for the 4th column of A is equal to
Transcribed Image Text:Given the linear system Ax = b -1 2 1 0 -1 1 0 0||0 1 1 3 [x1] 0][1 3 -1 2] 0. 25 x2 b2 -1 -2 5 | 1.5 6.5 7.5 10.5 b3 4 w ,and A LU decomposition is A = 1.5 2 1 0|o o 1 3 x3 [-2 -7.5 -3 -3.375][x4] -2 -1.51 1][o _o o 1. The inverse for the 4th column of A is equal to
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