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Math Help - Eigenvalue proof

  1. #1
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    Eigenvalue proof

    Please remove
    Last edited by gthoren; October 5th 2010 at 06:44 AM.
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  2. #2
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    Quote Originally Posted by gthoren View Post
    I have bee asked to show that for the eigenvalue problem:

    eta e= lamda(eta) e

    Show that:
    lamda(eta) = ( lamda(b) -1 )/(2lamda(b))

    where eta = Eularian strain tensor = 1/2(I-inv(B))
    lamda(eta) = eigenvalues of eta
    e = eigenvector of eta

    B = left cauchy-Green tensor
    lamda(b) = eigenvalues of B

    I don't really know where to start. I've come up with this so far:

    inv(B)e = (1-2lamda(eta))e

    Any tips what to do?

    Thanks!

    I think it's pretty hard to understand your symbols: either you write in LaTeX, or else call E instead "eta", w instead lambda or the like.

    Tonio
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  3. #3
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    Last edited by gthoren; October 5th 2010 at 05:45 AM.
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