Eigenvectors and Row/Column Vectors: What's the Connection?

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    Eigenvectors
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Discussion Overview

The discussion revolves around the relationship between eigenvectors of a matrix and the row or column vectors that constitute the matrix. Participants explore whether there is a general connection between these concepts.

Discussion Character

  • Exploratory, Debate/contested

Main Points Raised

  • One participant questions if there is a general relationship between eigenvectors and the row or column vectors of a matrix.
  • Another participant expresses uncertainty, stating they are not aware of any general relation.
  • A third participant references the Gershgorin circle theorem as a potential relevant concept.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the existence of a general relationship, with some expressing uncertainty and others suggesting related concepts.

Contextual Notes

The discussion lacks detailed exploration of the mathematical definitions or implications of eigenvectors and row/column vectors, leaving assumptions and connections unspecified.

Mappe
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Is there a general between the eigenvectors of a matrix and the row (or column) vectors making up the matrix?
 
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General relation I meant off cause ;\
 
Mappe said:
Is there a general between the eigenvectors of a matrix and the row (or column) vectors making up the matrix?
Not that I'm aware of.
Mappe said:
General relation I meant off cause ;\
Do you mean, "of course"?
 

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