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Q3- Given the following system of equations x-y-z = 6 3x - 3y — 3z = 18 6x — бу — 6z = 108 - How many solution you have in this system? Explain?

Q3- Given the following system of equations x-y-z = 6 3x - 3y — 3z = 18 6x — бу — 6z = 108 - How many solution you have in this system? Explain?

Advanced Engineering Mathematics
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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Q3- Given the following system of equations x-y-z = 6 3x - 3y 3z = 18 6x — бу — 6z = 108 How many solution you have in this system? Explain?
Transcribed Image Text:Q3- Given the following system of equations x-y-z = 6 3x - 3y 3z = 18 6x — бу — 6z = 108 How many solution you have in this system? Explain?
Expert Solution
Step 1: Augmented matrix

The Augmented matrix of the given system

open square brackets table row 1 cell negative 1 end cell cell negative 1 end cell 6 row 3 cell negative 3 end cell cell negative 3 end cell 18 row 6 cell negative 6 end cell cell negative 6 end cell 108 end table close square brackets

Lets use row operations to find the   echelon form.

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