2. 2x₁-3x₂+x=0 x₁+x2-x3=0 x₁-4x2+2x=0

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter2: Equations And Inequalities
Section: Chapter Questions
Problem 7PT: Solve for x:3(2x5)3(x7)=2x9.
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Question

Solve the linear system of equations attached using Gaussian elimination (not Gauss-Jordan) and back subsitution.

Remember that:

A matrix is in row echelon form if

  1. Any row that consists only of zeros is at the bottom of the matrix.
  2. The first non-zero entry in each other row is 1. This entry is called a
    leading 1.
  3. The leading 1 of each row, after the first row, lies to the right of the leading 1 of the previous row.
2.
2x₁-3x₂+x=0
x₁+x2-x3=0
x₁-4x2+2x=0
Transcribed Image Text:2. 2x₁-3x₂+x=0 x₁+x2-x3=0 x₁-4x2+2x=0
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