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
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Chapter2: Second-order Linear Odes
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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?
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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