Assume the system below has a unique solution. a11x1 + a12x2 + a13X3 = Equation 1 a21X1 + a22X2 + a23X3 = b2 a31X1 + a32x2 + a33X3 = b3 Equation 2 Equation 3 Does the system composed of Equations 1 and 2 have a unique solution, no solution, or infinitely many solutions? O unique solution no solution O infinitely many solutions

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 6T: Use Gaussian elimination to find the complete solution of the system, or show that no solution...
icon
Related questions
Question
Assume the system below has a unique solution.
a11X1 + a12X2 + a13X3 = b1
Equation 1
%3D
a21x1 + a22X2 + a23X3
b2
b3
Equation 2
a31X1 + a32X2 + a33X3
Equation 3
%3D
Does the system composed of Equations 1 and 2 have a unique solution, no solution, or infinitely many solutions?
unique solution
no solution
infinitely many solutions
Transcribed Image Text:Assume the system below has a unique solution. a11X1 + a12X2 + a13X3 = b1 Equation 1 %3D a21x1 + a22X2 + a23X3 b2 b3 Equation 2 a31X1 + a32X2 + a33X3 Equation 3 %3D Does the system composed of Equations 1 and 2 have a unique solution, no solution, or infinitely many solutions? unique solution no solution infinitely many solutions
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
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 and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
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
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill