Answered: 1 2 3 Q2: Consider A = 2 4 5 [1 3 4] a)…

1 2 3 Q2: Consider A = 2 4 5 [1 3 4] a) Check if the A has LU decomposition b) Find an LU decomposition c) Then solve X1 + 2x2 + 3x3 = 4 2x, + 4x2 + 5x3 = 6 X1 + 3x2 + 4x3 = 2 %3D %3D

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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Question

2 31
Q2: Consider
A = |2
4 5
3 4]
a) Check if the A has LU decomposition
b) Find an LU decomposition
c) Then solve
X1 + 2x2 + 3x3 = 4
2x, + 4x2 + 5x3 = 6
X1 + 3x2 + 4x3 = 2
121

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