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

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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[业亚一
4
2
6 -3
-8
-8 -9
9.
[T3_
14
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:[业亚一 4 2 6 -3 -8 -8 -9 9. [T3_ 14 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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