Use the Gauss-Jordan method to solve the given system of equations: -25x-6y-z=-40 -15x-10y-2z=-14 20x+6y+z=30
Use the Gauss-Jordan method to solve the given system of equations: -25x-6y-z=-40 -15x-10y-2z=-14 20x+6y+z=30
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.CT: Chapter Test
Problem 7CT
Related questions
Question
Use the Gauss-Jordan method to solve the given system of equations:
-25x-6y-z=-40
-15x-10y-2z=-14
20x+6y+z=30
Question content area bottom
Part 1
What is the augmented matrix that represents the system of equations?
negative 25−25 | negative 6−6 | negative 1−1 | −40 |
−15 | negative 10−10 | −2 | negative 14−14 |
2020 | 6 | 11 | 30 |
Part 2
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
This system has exactly one solution. The solution is enter your response here,enter your response here,enter your response here.
(Type an exact answer in simplified form.)
This system has infinitely many solutions of the form
enter your response here,enter your response here,z,
where z is any real number.(Type expressions using z as the variable.)
This system has no solution.
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