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Math Help - generalized eigenvector

  1. #1
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    generalized eigenvector

    Hi,

    Thank you for your help before. I have a new problem that I am straggling with. Would you help me

    Suppose that A is an nXn complex matrix that every vector in Cn is a generalized eigen vector of A.
    Show that A has only one eigenvalue.

    Show that there is no proper subspace of Cn that is invariant under A, or give a counterexample.

    Thank you!
    Last edited by CaptainBlack; November 22nd 2008 at 09:59 PM.
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