Explore BrainMass

Explore BrainMass

    Linear Transformations, Change of Basis and Conjugation

    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!

    Let V = Q3 and let ' be the linear transformation from V to itself:
    '(x, y, z) = (9x + 4y + 5z,−4x − 3z,−6x − 4y − 2z), x, y, z E Q
    With respect to the standard basis B find the matrix representing this linear transformation.
    Take the basis E = {(2,−1,−2), (1, 0,−1), (3,−2,−2)} = {ei} for V and find the matrix representing ' with respect to this basis, i.e. MEE ('). Find the matrix P that conjugates... into ...

    © BrainMass Inc. brainmass.com March 4, 2021, 6:24 pm ad1c9bdddf
    https://brainmass.com/math/linear-transformation/linear-transformations-change-of-basis-and-conjugation-43661

    Attachments

    Solution Summary

    Linear Transformations, Change of Basis and Conjugation are investigated. The solution is detailed and well presented.

    $2.49

    ADVERTISEMENT