Use LU decomposition to find the values of x1, X2, X3, X4. 5х, + 8x2 + 1хз + 5х, 3D — 83 X3 + 7x2 + 2x4 – 13x1 = -24 9x1 – x3 + 2x4 – 8x2 = 13 7x3 — х, + 11х, — 17х, %3D 48 %3D

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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Use LU decomposition to find the values of x1, X2, X3, X4.
5x1 + 8x, + 1x3 + 5x4
X3 + 7x2 + 2x4 – 13x1
9x1 – x3 + 2x4 – 8x2 = 13
7x3 – X4 + 11x, – 17x2 = 48
= -83
= -24
%3D
Transcribed Image Text:Use LU decomposition to find the values of x1, X2, X3, X4. 5x1 + 8x, + 1x3 + 5x4 X3 + 7x2 + 2x4 – 13x1 9x1 – x3 + 2x4 – 8x2 = 13 7x3 – X4 + 11x, – 17x2 = 48 = -83 = -24 %3D
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