Matrix is Invertible: is this notation ok?

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Discussion Overview

The discussion revolves around the notation used to express that a matrix A is invertible. Participants explore different ways to convey this concept, including shorthand notation and verbal descriptions.

Discussion Character

  • Conceptual clarification, Debate/contested

Main Points Raised

  • One participant proposes using the notation "A \ \exists A^{-1}" to indicate that A is an invertible matrix.
  • Another participant finds this notation strange and suggests that simply stating "A is invertible" is clearer.
  • A third participant offers the condition "\det(A) \neq 0" as an alternative way to express the invertibility of A.
  • A later reply reiterates the preference for verbal communication over shorthand notation, emphasizing clarity.

Areas of Agreement / Disagreement

Participants express differing opinions on the appropriateness of the shorthand notation, with some advocating for clearer verbal descriptions while others support the use of notation.

Contextual Notes

The discussion highlights the potential for confusion in mathematical notation and the importance of clarity in communication, but does not resolve the best approach to express matrix invertibility.

kostoglotov
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Quick question, not even sure if I should post it here, but I can't think where else. If I wanted to write the short hand of A is an invertible matrix, would it be ok to just write

[tex]A \ \exists A^{-1}[/tex]

?
 
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That looks strange to me. It's better to just say that A is invertible. Trying to use short hand will just be confusing.
 
"[itex]\det(A) \neq 0[/itex]"
 
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Likes   Reactions: Daeho Ro and kostoglotov
kostoglotov said:
Quick question, not even sure if I should post it here, but I can't think where else. If I wanted to write the short hand of A is an invertible matrix, would it be ok to just write

[tex]A \ \exists A^{-1}[/tex]

?
I agree with FactChecker. Just say (in words) that A is invertible. Sometimes notation is not helpful in communicating clearly.
 

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