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Find the unit eigenvectors

  1. Apr 9, 2009 #1
    1. The problem statement, all variables and given/known data

    I'm trying to find the unit eigenvectors corresponding to the following matrix

    A = [5 -2; -2 8] ; means new row

    2. Relevant equations

    det(A - hI) = 0

    3. The attempt at a solution

    I get lambda = 4 and 9

    unit eigenvector corresponding to lambda = 4

    x1 = ( -2/sqrt(5), -1/sqrt(5) )^T

    unit eigenvector corresponding to lambda = 9

    x2 = (1/sqrt(5), -2/sqrt(5) )^T

    Could someone please let me know if they get the same result. Thanks!
     
    Last edited: Apr 9, 2009
  2. jcsd
  3. Apr 9, 2009 #2
    Looks good!
     
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