a- Generate the permutation matrix of the given linear system equation. b- Solve the linear equation system with PA=LU factorization. Xị + X2+4 x3 + 4 x4 -2 x1 - 2 x2 + 4 x3 – 2 x4 2 Х4 2 | | 2 х + 2 х2 + Xз + -6 x1 + 2 x2 + 2 x3 + 5 x4 X4 2 = - 4

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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a- Generate the permutation matrix of the given
linear system equation.
b- Solve the linear equation system with PA=LU
factorization.
X2 + 4 x3 + 4 x4
-2 x1 - 2 x2 + 4 x3 – 2 x4
2 x1 + 2 x2 + X3 +
Xị +
1
2 Х4
2
|
X4 =
2
-6 x1 +2 x2 + 2 x3 + 5 x4 =- 4
Transcribed Image Text:a- Generate the permutation matrix of the given linear system equation. b- Solve the linear equation system with PA=LU factorization. X2 + 4 x3 + 4 x4 -2 x1 - 2 x2 + 4 x3 – 2 x4 2 x1 + 2 x2 + X3 + Xị + 1 2 Х4 2 | X4 = 2 -6 x1 +2 x2 + 2 x3 + 5 x4 =- 4
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