2x₁ + 4x₂x3 = 15 7x₁3x₂ + 3x3 = -4 4x13x28x3 = 19
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
b) Solve the above system of linear equations using LU-decomposition.
Transcribed Image Text:2x₁ + 4x₂x3 = 15
7x13x2 + 3x3 = -4
4x13x28x3 = 19
Expert Solution
Step 1
The given linear system is ,
Rewrite the given system in the form ,
where is a coefficient matrix , is a vector & is a vector .
In LU factorization method , we write ,
Where is a lower triangular matrix and is an upper triangular matrix .
From ,
let
=>
Step by step
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