Is Gaussian Elimination Only Used for 3x3 Matrices?

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Discussion Overview

The discussion revolves around the application of Gaussian elimination, specifically questioning whether it is limited to 3x3 matrices or if it can be applied more broadly. Participants explore the historical context and methodology of Gaussian elimination in relation to systems of equations.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant questions whether Gaussian elimination is restricted to 3x3 matrices.
  • Another participant asserts that Gaussian elimination can be applied to any matrix or system of equations, emphasizing its foundational role in solving systems rather than just matrices.
  • A participant seeks clarification on the historical development of Gaussian elimination.
  • There is a response indicating that the previous answer addressed both the initial question about matrix size and the historical context of Gaussian elimination.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus, as there is a clear disagreement regarding the scope of Gaussian elimination's applicability and the historical context of its development.

Contextual Notes

Some assumptions about the definitions of matrices and systems of equations may not be explicitly stated, and the discussion does not resolve the historical aspects of Gaussian elimination.

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is this elimination used only in 3*3 matrix?
 
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another question how did Gauss get to this answer?
 
No, Gaussian elimination can be used with any matrix or any system of equations.

Gaussian elimination is basically applying the same steps to the matrix that you would to solve a system of equations- in fact, Gaussian elimination was first applied to systems of equations rather than matrices.
 
halls of ivy would you happen to know the answer to my second question?
 
Yes. In fact, I gave it. Did you notice that my answer had two paragraps? First paragraphs answers first question. Second paragraph answers second question.
 

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