kindly answer this following problem using LU factorization thank you

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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kindly answer this following problem using LU factorization thank you

[System of Linear Equation] Just choose on one of the method below. Show
manual calculation.
Solve the system of equaton using direct methods
(a) Gauss Elimination
(b) LU factorization
(c) Gauss-Jordan Method
ur answer
2x₁ + x₂ + x3-11x, = 1
5x₁ - 2x₂ + 5x₁ - 4x = 5
X₁-x₂ + 3x₂-3x = 3
3x₁ + 4x₂ - 7x, + 2x = -7
Transcribed Image Text:[System of Linear Equation] Just choose on one of the method below. Show manual calculation. Solve the system of equaton using direct methods (a) Gauss Elimination (b) LU factorization (c) Gauss-Jordan Method ur answer 2x₁ + x₂ + x3-11x, = 1 5x₁ - 2x₂ + 5x₁ - 4x = 5 X₁-x₂ + 3x₂-3x = 3 3x₁ + 4x₂ - 7x, + 2x = -7
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