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Arrangement of eigenvalues in a Diagonal matrix

  1. Jan 18, 2014 #1
    1. The problem statement, all variables and given/known data

    Is it necessary to arrange the eigenvalues in increasing value order?

    As shown in the image attached, if I arrange my eigenvalues -2, -1, 1 diagonally, my D would be
    2^8 , 1, 1 diagonally.

    However if i arrange it as, say, -1, 1, -2, my D would be different.

    Just want to make sure of it, thanks.
     

    Attached Files:

  2. jcsd
  3. Jan 18, 2014 #2

    Dick

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    Science Advisor
    Homework Helper

    Good work. Yes, there is more than one matrix P that will diagonalize A. You can arrange the eigenvectors in P in a different order and get the eigenvalues in a different order along the diagonal. I don't think any one order is more correct than another.
     
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