Explore BrainMass
Share

Explore BrainMass

    Minimal Polynomial of T

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

    Let V be an inner-product space and suppose T element of L(V) is normal.

    a) Prove that null T^k = null T for all positive integer k.

    b) Prove that the minimal polynomial of T has no repeated roots.

    © BrainMass Inc. brainmass.com October 10, 2019, 3:54 am ad1c9bdddf
    https://brainmass.com/math/basic-algebra/minimal-polynomial-t-440664

    Attachments

    Solution Preview

    a) Let V be an inner-product space and suppose T element for L (V) is normal.
    The case ...

    Solution Summary

    The minimal polynomial of T is clearly addressed.

    $2.19