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Math Help - eigenvector problem

  1. #1
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    Jan 2008
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    eigenvector problem

    Hi,

    for the matrix A with [7 , 1/2] as row 1, and [1/2, 4] as row 2 (sorry couldnt find syntax for matrices). i need to find eigenvalues and eigenvectors. Eigenvalues are fine, they are (11 + (10)^{1/2})/2 and (11 - (10)^{1/2}/2). This is confirmed by the book im working from, and MATLAB. However, when i try to find the basis for the eigenspace corresponding to either of these i get the trivial solution i.e. (x_1, x_2) = (0,0), which of course cant be right!

    For the eigenvector (11 + (10)^{1/2})/2:

    I think i am going right, up to the point where the matrix is [(10)^{1/2}-3, -1] for row 1, and [-1, (10)^{1/2}+3] for row 2. I think i must be going wrong from here.

    any help is appreciated.

    cheers,

    Oli
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  2. #2
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    Jan 2008
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    solved it!

    hi again,

    ok iv got it solved, i just overlooked something!

    cheers,

    Oli
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