X1 + X2 + 4 x3 + 4 X4 = 1 -2 х1 — 2 х2 + 4 xз — 2 х4 — 2 2 x1 +2 x2 + X3+ X4 = 2 -6 X1 + 2 х2 + 2 Xз + 5 х4 :-4

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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Solve the following system of equations by LU decomposition.

X1 + X2 + 4 x3 + 4 x4 = 1
-2 х1 — — 2
-2 X2 + 4 Xз — 2 х4
2 x1 +2 x2 + X3 +
Х4
2
-6 x1 + 2 x2 +2 x3 + 5 x4 =-4
Transcribed Image Text:X1 + X2 + 4 x3 + 4 x4 = 1 -2 х1 — — 2 -2 X2 + 4 Xз — 2 х4 2 x1 +2 x2 + X3 + Х4 2 -6 x1 + 2 x2 +2 x3 + 5 x4 =-4
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