The augmented matrix is in row-echelon form. Assume that the variables are x, y, and z and use back substitution to obtain the solution of the associated system of linea 1 2 1 4 0 1 -3 11 0 0 1 - 3 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. There is one solution. The solution set is { } (Simplify your answer. Type an ordered triple, using integers or fractions.) O B. There are infinitely many solutions. The solution set is the set of all ordered triples { . z)}, where z is any real number. (Type expressions using z as the variable. Simplify your answers.) O C. The system is inconsistent. The solution set is ø.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.3: M X N Matrices
Problem 47PS
icon
Related questions
Question
The augmented matrix is in row-echelon form. Assume that the variables are x, y, and z and use back substitution to obtain the solution of the associated system of linear equations.
1 2
1
4
0 1 -3
11
0 0
1
- 3
Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
O A. There is one solution. The solution set is { }
(Simplify your answer. Type an ordered triple, using integers or fractions.)
O B. There are infinitely many solutions. The solution set is the set of all ordered triples {( z) }, where z is any real number.
(Type expressions using z as the variable. Simplify your answers.)
O C. The system is inconsistent. The solution set is Ø.
Transcribed Image Text:The augmented matrix is in row-echelon form. Assume that the variables are x, y, and z and use back substitution to obtain the solution of the associated system of linear equations. 1 2 1 4 0 1 -3 11 0 0 1 - 3 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. There is one solution. The solution set is { } (Simplify your answer. Type an ordered triple, using integers or fractions.) O B. There are infinitely many solutions. The solution set is the set of all ordered triples {( z) }, where z is any real number. (Type expressions using z as the variable. Simplify your answers.) O C. The system is inconsistent. The solution set is Ø.
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
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
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
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College