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Math Help - Eigenvalues

  1. #1
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    Question Eigenvalues

    Hi everyone, I am needing some help. I have the matrix

    A= [2 1/2]
    .....[-1/2 1]

    According to my book, the eigenvalue for this is λ1= λ2=3/2 and the eigenvector is
    v=[1]
    ...[-1]

    However, this is not what I am getting. I'm not seeing where they are getting the 3/2 from. I know the process of finding the eigenvalue because I have successfully solved my other homework problems but this one is stumping me. Can someone show how to get the 3/2 eigenvalue?
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  2. #2
    Master Of Puppets
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    by \det(A-\lambda I)=0

    you get the quadratic

    \lambda^2-3\lambda+ \frac{9}{4}=0

    which factors to be

     \left(\lambda-\frac{3}{2}\right)^2=0

    gives \lambda = \frac{3}{2}
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  3. #3
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    OH ok I see it...I must have been havin a brain fart. Thanks for your help!
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