Help with 7x7 gauss jordan elimination program

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SUMMARY

The discussion focuses on solving a 7x7 system of equations using the Gauss-Jordan elimination method. The user is struggling with the transition from a 3x3 to a 7x7 problem and seeks assistance in applying the technique. Key steps include forming an augmented matrix from the coefficients of the equations and performing row-reduction. Participants emphasize the importance of showing work for effective guidance.

PREREQUISITES
  • Understanding of linear equations and systems
  • Familiarity with matrix representation of equations
  • Knowledge of row-reduction techniques
  • Basic proficiency in Gauss-Jordan elimination
NEXT STEPS
  • Learn how to construct augmented matrices from systems of equations
  • Study the process of row-reduction in Gauss-Jordan elimination
  • Practice solving larger systems of equations using software tools like MATLAB or Python's NumPy
  • Explore common pitfalls and troubleshooting techniques in matrix operations
USEFUL FOR

Students learning linear algebra, educators teaching matrix methods, and anyone needing to solve complex systems of equations using Gauss-Jordan elimination.

dudeweresdeth
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Homework Statement



Hi, I am new to gauss jordan elimination and our teacher onlt taught us how to solve a 3x3 equation and gave us a 7x7 problem to answer due tom.

2m + 3n - p + q + 2r - s + 2t = 1
m - n + p - q + r + s + t = 2
2m + 2n - 2p + q - 2r + s - t = 1
m - 2p + q - r - s + t = 1
m - 2n + p - q + r + s + t = 2
m + 2n + 2p + 2q + r - s + 2t = 1
m - n - 2p - q - r + s + t = 2

Homework Equations



2m + 3n - p + q + 2r - s + 2t = 1
m - n + p - q + r + s + t = 2
2m + 2n - 2p + q - 2r + s - t = 1
m - 2p + q - r - s + t = 1
m - 2n + p - q + r + s + t = 2
m + 2n + 2p + 2q + r - s + 2t = 1
m - n - 2p - q - r + s + t = 2

The Attempt at a Solution



i tried solving it thrice . . . using different methods i saw on the internet, but I am scared i don't want to fail. I really need help pls help me out dudes.

tahnks!
 
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First thing you should do is to write out the equations in the form of a matrix:

The entries of the matrix should consist only of the co-efficients of the unknowns. Then just juxtapose the numbers on the RHS of the system of equations to form an augmented matrix. Then perform row-reduction. Where are you stuck? It's hard to help if you don't show any work.
 

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