What are all the matrices that commute wit a matrix of ones?

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Homework Help Overview

The discussion revolves around identifying the characteristics of matrices that commute with a matrix of ones. The subject area pertains to linear algebra, specifically matrix operations and properties.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants suggest working through a specific case with a 2x2 matrix to derive general principles. There is also a focus on the definition of "commute" and its implications for matrix properties.

Discussion Status

Some participants express confidence in their findings regarding the sums of rows and columns, while others prompt for proofs and further validation of these claims. The conversation reflects an ongoing exploration of the topic without a definitive consensus.

Contextual Notes

No explicit equations are provided, and the original poster indicates a lack of formal requirements in the problem statement.

Jamin2112
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Homework Statement



What are the characteristics of a matrix that commutes with a matrix of ones?

Homework Equations



None.

The Attempt at a Solution



I'm helping a buddy with his homework and I can't figure out this problem.
 
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Try working it out explicitly for a 2x2 matrix (it's easy) and see if you can generalize from there.
 
Relevant equations None.
What about the definition of "commute"?
 
Figured out the answer, I think. The sum of every row and column is the same.
 
Jamin2112 said:
Figured out the answer, I think. The sum of every row and column is the same.

Sounds right, can you prove it?
 
Dick said:
Sounds right, can you prove it?

Yes, but the problem doesn't ask me to
 
Jamin2112 said:
Yes, but the problem doesn't ask me to

Fair enough.
 

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