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
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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Question
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F121e7ea4-5447-492d-b5b8-2c4484c82278%2Ff03f76bc-40a9-4190-91cc-d0e39ec43a44%2F3lqc1x3_processed.png&w=3840&q=75)
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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