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Math Help - relation of eigenvalues and eigenvectors of inverse matrix

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    relation of eigenvalues and eigenvectors of inverse matrix

    What is the relation between the eigenvalues and the eigenvectors of a matrix and its inverse?

    many thanks.
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    Quote Originally Posted by saskadimova View Post
    What is the relation between the eigenvalues and the eigenvectors of a matrix and its inverse?


    many thanks.
    a square matrix A is invertible if and only all its eigenvalues are non-zero. now Ax = \lambda x if and only if A^{-1}x=\frac{1}{\lambda} x. thus ...
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