Using Gaussian elimination to solve S3x + 2y – 2z = 0 x- y + z = 5, we obtain the matrix [1 -1 5 1 Translating this matrix back into equation form gives Equation 1 Equation 2 Solving Equation 2 for y in terms of z results in y = Substituting this expression for y in Equation 1 gives x = - The system's solution set is

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter11: Matrices And Determinants
Section11.CT: Chapter Test
Problem 6CT
icon
Related questions
Question
Using Gaussian elimination to solve
S3x + 2y – 2z = 0
x- y + z = 5,
we obtain the matrix
[1 -1
5
1
Translating this matrix back into equation form gives
Equation 1
Equation 2
Solving Equation 2 for y in terms of z results in
y = Substituting this expression for y in
Equation 1 gives x =
- The system's solution
set is
Transcribed Image Text:Using Gaussian elimination to solve S3x + 2y – 2z = 0 x- y + z = 5, we obtain the matrix [1 -1 5 1 Translating this matrix back into equation form gives Equation 1 Equation 2 Solving Equation 2 for y in terms of z results in y = Substituting this expression for y in Equation 1 gives x = - The system's solution set is
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning