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Eigenvalues of operator

  1. Nov 11, 2007 #1
    1. The problem statement, all variables and given/known data

    I need the eigenvalues and eigenvectors of [[0,0,1][0,2,0][1,0,0]]

    3. The attempt at a solution

    How come when I use the determinent method to get the eigenvalues I only end up with 2? Did I make a mistake or is there some other way I'm supposed to find -1, +1?
  2. jcsd
  3. Nov 11, 2007 #2


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    If you mean what I think you mean, then you must have made a mistake. Can you show your work?
  4. Nov 11, 2007 #3
    I used the cofactor expansion along the first row, like on wikipedia so the first two terms are zero and then for the last term: (1)det{ [[0, L-2][1, 0]] } = (0*0) - ((2-L)(1) => L-2 = 0 => L = 2
  5. Nov 11, 2007 #4


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    If you are expanding along the first row, there are two nonvanishing cofactors. There's an L in the first column and a 1 in the last.
  6. Nov 11, 2007 #5
    Oops. Alright thanks.
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