Lets say A can be reduced to the following matrix using row operations: 1 80 0 0 0 10 -10 0 0 0 1 0 0 0 0 4 8 a) Determine the pivot columns, the basic variables and the free variables. Write the solution to Ax = 0 in parametric vector form. b) Does Ax = b have a solution for every possible b?
Lets say A can be reduced to the following matrix using row operations: 1 80 0 0 0 10 -10 0 0 0 1 0 0 0 0 4 8 a) Determine the pivot columns, the basic variables and the free variables. Write the solution to Ax = 0 in parametric vector form. b) Does Ax = b have a solution for every possible b?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Lets say A can be reduced to the following matrix using row operations:
1 80 0
0 0 10 -10
0 0 0 1
0 0 0 0
4
8
a) Determine the pivot columns, the basic variables and the free variables. Write the
solution to Ax = 0 in parametric vector form.
b)
Does Ax = b have a solution for every possible b?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa2640b31-1acf-46c9-a48d-b98e29390a19%2F37c5a3a4-462a-419f-9a51-b581cef561df%2Fi39tks9_processed.png&w=3840&q=75)
Transcribed Image Text:Lets say A can be reduced to the following matrix using row operations:
1 80 0
0 0 10 -10
0 0 0 1
0 0 0 0
4
8
a) Determine the pivot columns, the basic variables and the free variables. Write the
solution to Ax = 0 in parametric vector form.
b)
Does Ax = b have a solution for every possible b?
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