The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution. 14 -2 -3 1] 00 13-5 -1 -4 -2 -9 19 O x1=-9-4x2-3x4 X₂ is free x3 = -5-3x4 X₂ = 0 Ox₁=-9-4x₂-3x4 X₂ is free x3 = -5-3x4 x is free. Ox₁--9-4x2-3x3 X2=-5-3x3 X is free Ox₁=-4x2+2x+3x+1 X2 is free x3--5-3x4 X is free

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section6.1: Matrices And Systems Of Linear Equations
Problem 2E: Write the augmented matrix of the following system of equations. System {x+yz=1x+2z=32yz=3 Augmented...
icon
Related questions
Question
The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state
that there is no solution.
14 -2 -3 1
00 13-5
-1-4 -2 -9 19
O x1 = -9-4x₂-3x4
X₂ is free
x3 = -5-3x4
X4 = 0
Ox₁=-9-4x₂-3x4
X₂ is free
x3 = -5-3x4
X₂ is free
Ox₁=-9-4x₂-3x3
X₂=-5-3x3
X3 is free
Ox₁=-4x2+2x+3x+1
X2 is free
X3--5-3x4
X is free
Transcribed Image Text:The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution. 14 -2 -3 1 00 13-5 -1-4 -2 -9 19 O x1 = -9-4x₂-3x4 X₂ is free x3 = -5-3x4 X4 = 0 Ox₁=-9-4x₂-3x4 X₂ is free x3 = -5-3x4 X₂ is free Ox₁=-9-4x₂-3x3 X₂=-5-3x3 X3 is free Ox₁=-4x2+2x+3x+1 X2 is free X3--5-3x4 X is free
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
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 (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning