Explore BrainMass

Explore BrainMass

    Linear operators proof

    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!

    (See attached file for full problem description)

    Let V be a two-dimensional vector space over the field F, and let be an ordered
    basis for V. If is a linear operator and then prove that

    © BrainMass Inc. brainmass.com March 6, 2023, 2:01 pm ad1c9bdddf


    Solution Preview


    Here zero operator and identity operator will have the same matrix with respect to any basis namely the zero matrix and identity matrix ,therefore we need to check the equality with respect to basis = M

    M^2= * =


    Solution Summary

    This is a proof regarding linear operators and two-dimensional vector space.