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Math Help - Eigenvalue algebra proof question

  1. #1
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    Eigenvalue algebra proof question

    Im having difficulty with the follwing proof ( any help would be appriciated):

    Let Lambda be and eigenvalue of an invertible matrix A. Show that 1/lambda is and eigenvalue of the inverse of A.
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Necessarily \lambda\neq 0 (why?) and there exists x\neq 0 such that Ax=\lambda x . Multiply both sides by A^{-1} .
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