Explore BrainMass

Explore BrainMass

    Eigenvectors and eigenvalues

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

    Please see the attached file for full problem description.
    ? Let . Compute the characteristic polynomial and all eigenvalues and all eigenvectors of A.

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

    Let be a linear transformation which is an isomorphism. Denote its inverse by . Suppose that is an eigenvalue of T. then

    a)
    b) is an eigenvalue of .
    c) - is an eigenvalue of
    d) is an eigenvalue of .

    © BrainMass Inc. brainmass.com March 4, 2021, 6:04 pm ad1c9bdddf
    https://brainmass.com/math/linear-algebra/eigenvectors-and-eigenvalues-27136

    Attachments

    Solution Summary

    This shows how to compute the characteristic polynomial and all eigenvalues and all eigenvectors, and show that given values are the eigenvalues of an inverse transformation matrix.

    $2.49

    ADVERTISEMENT