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Homework Help: Eigenvector order

  1. Mar 24, 2014 #1

    939

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    1. The problem statement, all variables and given/known data

    A =
    2 -2
    -2 5

    Eigenvalues are: 6, 1

    Find eigenvectors. My only question is about order. My book lists them in the opposite order as I and I am not sure where I went wrong.

    2. Relevant equations

    A =
    2 -2
    -2 5

    Eigenvalues are: 6, 1

    3. The attempt at a solution

    i..e for 1:
    1λ1 -2λ2 = 0
    λ1 = 2λ2
    = (2λ2)/(λ2)

    Let λ2 = 1

    = 2/√5, 1/√5

    Yet my book lists them as 1/√5, 2/√5. Why is this?
     
  2. jcsd
  3. Mar 24, 2014 #2

    939

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    EDIT: Never mind, I was misreading the book. Answer found.
     
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