Understanding the Com of a Matrix: Properties and Applications

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Discussion Overview

The discussion revolves around the concept of "com" of a matrix, particularly in relation to tensors and their properties. Participants explore its definition, properties, and connections to existing mathematical literature, with a focus on the Cauchy stress tensor and cofactor matrices.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant seeks clarification on the term "com(M)" and its properties, noting a lack of information found in their research.
  • Another participant suggests that "com(t_{ij})" may relate to a specific mathematical expression involving stress invariants, although they admit unfamiliarity with the term "com."
  • A third participant expresses confusion regarding the dependence of Tij on indices i and j, indicating a gap in understanding the material.
  • A later reply identifies "com(A)" as equivalent to "C(A)" or "Cof(A)," suggesting it refers to a matrix related to the adjugate of A.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the definition and properties of "com(M)," with multiple interpretations and uncertainties expressed throughout the discussion.

Contextual Notes

There are limitations in understanding due to language barriers and varying levels of familiarity with the topic, which may affect the clarity of the discussion.

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Unable to read french and not being particularly knowledgeable about the topic matter, it bothers me greatly that Tij appears to depend on neither i nor j in the French version.
 

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