Results 1 to 2 of 2

Math Help - similar matrices

  1. #1
    Member
    Joined
    Mar 2008
    Posts
    83

    similar matrices

    Let A, B be square matrices of order n.
    If A or B is invertible, show that AB is similar to AB.

    First I saw this question, I think there' s a typo in this question since every matrix is similar to itself.
    May be it should be AB similar to BA.

    Anyway, i still can't solve it if it is BA.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member
    Joined
    May 2010
    From
    Texas
    Posts
    48
    Think about what you know.
    You know that A has an inverse (or similarly for B).
    So A^{-1} exists. So chances are it's going to be very closely related to your similarity transformation.
    Hope that helps.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Are these matrices similar?
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: October 24th 2011, 12:18 AM
  2. Similar matrices Q
    Posted in the Advanced Algebra Forum
    Replies: 6
    Last Post: July 30th 2011, 03:41 AM
  3. similar matrices
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: July 26th 2009, 04:26 PM
  4. Similar matrices
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: May 10th 2008, 05:17 PM
  5. Similar Matrices
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: November 6th 2006, 07:12 PM

Search Tags


/mathhelpforum @mathhelpforum