Solve the following linear systems by Gauss-Jordan elimination. A. x₂ + 2x₂-x₂ + 3x₁ = 4 + 2x₁ = 1 x₂ + x₂ - x₁ = 3 B. -x₂ + x₂ + 2xy + x₂ + 3x₂ = 10 X₁ X₂ + x₂ + 3x₁ - 4x3 = -15 -8x₂ + 8x₂ +7x3-4x4 +36x5 = 131

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Matrices And Determinants
Section7.1: Matrices And Systems Of Equations
Problem 8ECP
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Solve the following linear systems by Gauss-Jordan elimination.
A.
x₂ + 2x₂-x₂ + 3x₁ = 4
+ 2x₁ = 1
x₂ + x₂
- x₁ = 3
B.
-x₁ + x₂ + 2x₂ + x₁ +
3x5 = 10
X₁
X₂ + x₂ + 3x4 - 4x3 = -15
-8x₂ + 8x₂ + 7x3-4x4 +36x5 = 131
Transcribed Image Text:Solve the following linear systems by Gauss-Jordan elimination. A. x₂ + 2x₂-x₂ + 3x₁ = 4 + 2x₁ = 1 x₂ + x₂ - x₁ = 3 B. -x₁ + x₂ + 2x₂ + x₁ + 3x5 = 10 X₁ X₂ + x₂ + 3x4 - 4x3 = -15 -8x₂ + 8x₂ + 7x3-4x4 +36x5 = 131
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