Explore BrainMass

Explore BrainMass

    Proof : Diagonalization of Matrices

    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!

    Please see the attached file for full problem description.

    Write a proof for the following statement:
    If A is an n x n upper triangular matrix with no two diagonal elements the same, then A is similar to a diagonal matrix. Show work.

    © BrainMass Inc. brainmass.com March 4, 2021, 5:49 pm ad1c9bdddf
    https://brainmass.com/math/linear-algebra/proof-diagonalization-matrices-12947

    Attachments

    Solution Preview

    1. Write a proof for the following statement:
    If A is an n x n upper triangular matrix with no two diagonal elements the same, then A is similar to a diagonal ...

    Solution Summary

    The similarity to a diagonal matrix is investigated.

    $2.49

    ADVERTISEMENT