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Math Help - Issue with Eigenvectors

  1. #1
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    Issue with Eigenvectors [solved]

    I put my problem in the pdf document since matrices are tedious in latex...I am trying to find eigenvectors for a linear system, I can produce the same eigenvalues given by wolfram (see pic of wolfram results)...but I cannot get the same eigenvectors and I cannot resolve the problem...or figure out what's wrong...

    The pdf is the problem...the pic is the wolfram results...
    Attached Thumbnails Attached Thumbnails Issue with Eigenvectors-wolframcapture.png  
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    Last edited by adkinsjr; September 29th 2013 at 02:35 PM.
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  2. #2
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    Re: Issue with Eigenvectors

    Ok, nevermind, I see what the problem is now. The equations are just redundant, and it means that there are infinitely many eigenvectors such that any x I chose will correspond to a y value given by one of the equations.
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  3. #3
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    Re: Issue with Eigenvectors [solved]

    You are looking for a vector \begin{pmatrix}x \\ y\end{pmatrix} such that \begin{pmatrix}1&1 \\ 1&0\end{pmatrix}\begin{pmatrix}x \\ y\end{pmatrix} = \lambda \begin{pmatrix}x \\ y\end{pmatrix}

    So, you found your eigenvalues. Now, solve for the vector. Figure out the matrix multiplication, figure out the scalar multiplication, then solve for your x and y. There should be an infinite number of solutions (the Eigenspace). Choose a non-zero solution.
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