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    Proof of diagonalizability

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    Verify:

    (a) If A is diagonalizable and B is similar to A then B is also diagonalizable.
    (b) If {see attachment} and x is an eigenvector of A corresponding to an eigenvalue ... {see attachment for complete question

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    Proof.
    (1) Since A is diagonalizable, namely, there exists a nonsingular matrix P such that

    So,

    Since A and B are ...

    Solution Summary

    This is a proof regarding diagonalizability.

    $2.49

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