Find Permutability of Matrices: Algebra Homework Help

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Homework Help Overview

The discussion revolves around the concept of permutability of matrices in the context of algebra. The original poster presents a problem regarding square matrices and their relationship through the property of being exchangeable or permutable.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to define the conditions under which matrices are permutable, mentioning the equality of rows and columns. Some participants question the definitions provided, particularly the distinction between exchangeable and permutable matrices.

Discussion Status

The discussion is currently focused on clarifying the definitions and properties related to permutable matrices. There is an ongoing examination of the terminology used, with participants seeking to ensure a mutual understanding of the concepts before proceeding further.

Contextual Notes

There appears to be some confusion regarding the definitions of exchangeable and permutable matrices, which may affect the direction of the discussion. The original poster's understanding of the terms is being scrutinized by other participants.

esmeco
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I have this question as homework from my Algebra class:
A square matrix X is called exchangeable with A if AX=XA.Determine the set of permutable matrices with
matrix.jpg


My question is,how do I find that set?I know that a matrix to be permutable all rows and columns must be the same and that a square matrix is composed by the same number of rows and columns.
Thanks in advance for the help!
 
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You defined exchangable, not permutable, so who knows?
 
By exchangeable i meant permutable...
 
You defined what it means for X to be exchachangable *with A*, not what it means for X to be exchangable, or permutable.
 

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