Explore BrainMass

Explore BrainMass

    Isomorphisms and eigenvalues

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    True or false? Justify your answer in each case (giving a proof or a counterexample):

    Let T:V-->W be a linear transformation which is an isomorphism. Denote its inverse by T-1 . Suppose that (SYMBOL) is an eigenvalue of T. Then answer a, b, c and d.

    PLEASE SEE ATTACHMENT FOR COMPLETE QUESTION

    © BrainMass Inc. brainmass.com December 24, 2021, 5:05 pm ad1c9bdddf
    https://brainmass.com/math/linear-algebra/isomorphisms-eigenvalues-27442

    Attachments

    Solution Preview

    Please see the attachment

    Answer:
    (a) True
    (b) False
    (c) False
    (d) False

    It is simple to show that (b), (c) and (d) are ...

    Solution Summary

    This is a proof regarding isomorphisms and inverses. Linear transformation for isomorphism is denoted.

    $2.49

    ADVERTISEMENT