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Permutable matrice

  1. Oct 3, 2006 #1
    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 [​IMG].

    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!:wink:
  2. jcsd
  3. Oct 3, 2006 #2
    An example of a matrix that could be exchangeable with A could be X=2 3 ?
    4 5

    I think there would be an infinite number of matrices exchangeable with the matrix A if the matrix has the same number of rows and columns as matrix A.
    Last edited: Oct 3, 2006
  4. Oct 3, 2006 #3
    Any thoughts on this?
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