A student puts a 3x3 system of linear equations is into an augmented matrix. The student then correctly puts the augmented matrix into row echelon form (REF), which yields the following resultant matrix: -2 3 -0.5 10 0 0 0 -2 0 1 -4 Which of the following conclusions is mathematically supported by the work shown about system of linear equations? The 3x3 system of linear equations has no solution. ○ The 3x3 system of linear equations has infinite solutions. The 3x3 system of linear equations has one unique solution.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter4: Systems Of Linear Equations
Section4.5: Solve Systems Of Equations Using Matrices
Problem 202E: Write the system of equations that that corresponds to the augmented matrix. 202. [103120012| 1 23]
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A student puts a 3x3 system of linear equations is into an augmented matrix. The student then correctly
puts the augmented matrix into row echelon form (REF), which yields the following resultant matrix:
-2
3
-0.5
10
0 0
0
-2
0 1 -4
Which of the following conclusions is mathematically supported by the work shown about system of linear
equations?
The 3x3 system of linear equations has no solution.
○ The 3x3 system of linear equations has infinite solutions.
The 3x3 system of linear equations has one unique solution.
Transcribed Image Text:A student puts a 3x3 system of linear equations is into an augmented matrix. The student then correctly puts the augmented matrix into row echelon form (REF), which yields the following resultant matrix: -2 3 -0.5 10 0 0 0 -2 0 1 -4 Which of the following conclusions is mathematically supported by the work shown about system of linear equations? The 3x3 system of linear equations has no solution. ○ The 3x3 system of linear equations has infinite solutions. The 3x3 system of linear equations has one unique solution.
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