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2x₁ + 4x₂x3 = 15 7x₁3x₂ + 3x3 = -4 4x13x28x3 = 19

2x₁ + 4x₂x3 = 15 7x₁3x₂ + 3x3 = -4 4x13x28x3 = 19

Advanced Engineering Mathematics
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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c) Determine the inverse of the coefficient matrix using LU-decomposition.
2x₁ + 4x₂x3 = 15 7x13x2 + 3x3 = -4 4x13x28x3 = 19
Transcribed Image Text:2x₁ + 4x₂x3 = 15 7x13x2 + 3x3 = -4 4x13x28x3 = 19
Expert Solution
Step 1

Given:

2x1+4x2-x3=157x1-3x2+3x3=-44x1-3x2-8x3=19

We have to find the inverse of the coefficient matrix using LU decomposition.

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