2x₁ + x + x; + x = 0 x₁ - 6x1 + x3 = 0 3x₁ - 5x₂ + 2x3 + x₁ = 0 5x ·4x2 + 3x3 + 2x₁ = 0

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter6: Fractions
Section6.1: Simplifying Fractions
Problem 38WE
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Find a basis for the solution set of the given homogeneous linear system. 

2x + x +
x₁ = 6x1 +
x; +
.xj =
x = 0
x3
= 0
3x₁ = 5x₂ + 2x3 +
x;
5x₁ - 4x2 + 3x3 +
x₁ = 0
2x₁ = 0
Transcribed Image Text:2x + x + x₁ = 6x1 + x; + .xj = x = 0 x3 = 0 3x₁ = 5x₂ + 2x3 + x; 5x₁ - 4x2 + 3x3 + x₁ = 0 2x₁ = 0
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