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Math Help - Eigenvalues

  1. #1
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    Eigenvalues

    Dear Colleagues,

    Could you please help me in solving the following problem,

    What do we mean a number w is not an eigenvalue of an nxn matrix A?


    Best Regards,

    Raed.
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Quote Originally Posted by raed View Post
    What do we mean a number w is not an eigenvalue of an nxn matrix A?

    det ( A -w I ) =/= 0 or equivalently there is no v =/= 0 in IR^n such that A v = w v
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