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    Important information about eigenvectors and eigenvalues

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    Let V be the set of real valued sequences {see attachment}.

    ? Check that V is a vector space over the field of real numbers, using addition of vectors {see attachment} and scalar multiplication {see attachment}.

    Let T be the linear shift map sending {see attachment}.

    ? Check that T is a linear transformation and compute its eigenvalues and eigenvectors.

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    https://brainmass.com/math/matrices/important-information-eigenvectors-eigenvalues-27324

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    Let V be the set of real valued sequences .

    • Check that V is a vector space over the field of real numbers, using addition of vetors and scalar multiplication .
    (1) First we want to show the addition is closed in V
    If , then both are real valued sequence, let , ...

    Solution Summary

    Eigenvectors and Eigenvalues problems are solved. The solution is detailed and well presented.

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