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4 2 -1 2 6 -3 -8 -9 I3 14 a. Find the solution to this system using LU decomposition.

4 2 -1 2 6 -3 -8 -9 I3 14 a. Find the solution to this system using LU decomposition.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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4 2 -1 6 -3 -8 -8 -9 9. 13 a. Find the solution to this system using LU decomposition. b. Find the solution to this system using PA=LU decomposition and check if you obtain the same solution. c. For the approximate solution x, = [-1.0,1.0, 1.0] T, calculate the rela- tive forward and relative backward errors, and the error magnification factor.
Transcribed Image Text:4 2 -1 6 -3 -8 -8 -9 9. 13 a. Find the solution to this system using LU decomposition. b. Find the solution to this system using PA=LU decomposition and check if you obtain the same solution. c. For the approximate solution x, = [-1.0,1.0, 1.0] T, calculate the rela- tive forward and relative backward errors, and the error magnification factor.
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