Explore BrainMass

Explore BrainMass

    Diagonizable Matrix, Inverse and Nullspace

    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!

    1) If a Matrix A is diagonizable, must it have an inverse ? if so, is it diagonizable? Can {see attachment} be diagonized, does it have an inverse as well as {see attachment}

    2) A is mxn
    For m<n, is there a vector b such that Ax = b does not have any solution? Any trivial solution for Ax = 0?
    b) Can say the same for m>n ? Any possible dimension for nullspace of A?

    © BrainMass Inc. brainmass.com May 24, 2023, 1:40 pm ad1c9bdddf
    https://brainmass.com/math/linear-algebra/diagonalizable-matrix-inverse-nullspace-30836

    Attachments

    Solution Summary

    Diagonizable Matrices, Inverses and Nullspaces are investigated. The solution is detailed and well presented. The response received a rating of "5" from the student who posted the question.

    $2.49

    ADVERTISEMENT