- #1
TonyC
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I am having trouble finding the solution to the homogeneous system of linear equations:
2x-2y+z=0
-2x+y+z=0
2x-2y+z=0
-2x+y+z=0
Homogeneous system of linear equation:
- Thread starter TonyC
- Start date
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Homework Help Overview
The discussion revolves around solving a homogeneous system of linear equations involving three variables and two equations. Participants are exploring the implications of having fewer equations than unknowns and the nature of the solutions.
Discussion Character
- Exploratory, Assumption checking, Problem interpretation
Approaches and Questions Raised
- Participants discuss how to approach the problem by selecting one variable as a parameter and expressing the others in terms of that parameter. There are questions about the validity of solving a system with more unknowns than equations and concerns about the multiple-choice answers provided.
Discussion Status
The discussion is ongoing, with participants offering various approaches to parameterizing the solution. Some guidance has been provided on how to set up the equations, but confusion remains regarding the multiple-choice answers and the overall process.
Contextual Notes
Participants are navigating the challenge of solving a system with three unknowns and only two equations, which raises questions about the nature of the solutions and the interpretation of the multiple-choice options given.