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Solve a system of linear equations x₁ + 2x₂x3 = 1 2x1x₂ + x3 = 3 - -x₁ + 2x₂ + 3x3 = 7

Solve a system of linear equations x₁ + 2x₂x3 = 1 2x1x₂ + x3 = 3 - -x₁ + 2x₂ + 3x3 = 7

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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Problem 3. Solve a system of linear equations x₁ + 2x₂x3 = 1 2x1x₂ + x3 = 3 -x₁ + 2x₂ + 3x3 = 7
Transcribed Image Text:Problem 3. Solve a system of linear equations x₁ + 2x₂x3 = 1 2x1x₂ + x3 = 3 -x₁ + 2x₂ + 3x3 = 7
Expert Solution
Step 1

We have given a system of equations,

x1+2x2-x3=12x1-x2+x3=3-x1+2x2+3x3=7

We will use Gauss-Jordan elimination method for solving this system.

Converting above equations into matrix form we will get,

12-12-11-123x1x2x3=137

 

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