Results 1 to 2 of 2

Math Help - Diagonalization question

  1. #1
    Newbie
    Joined
    Jan 2010
    Posts
    1

    Diagonalization question

    Am I being stupid? This seems like an easy question, especially given all the linear algebra I've been doing so far. For some reason, this has me stumped.

    Given a real matrix A, I have to prove that {A^t}A is diagonalizable ( {A^t} being the transpose of A). The other questions that I've already done are about inner product spaces, although this question may be independent of that.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Banned
    Joined
    Oct 2009
    Posts
    4,261
    Quote Originally Posted by tiana3 View Post
    Am I being stupid? This seems like an easy question, especially given all the linear algebra I've been doing so far. For some reason, this has me stumped.

    Given a real matrix A, I have to prove that {A^t}A is diagonalizable ( {A^t} being the transpose of A). The other questions that I've already done are about inner product spaces, although this question may be independent of that.

    1) If a matrix is normal then it is diagonalizable

    2) If A is a real matrix, then A*=A^t

    Tonio
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Diagonalization
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: January 23rd 2011, 01:58 PM
  2. Diagonalization
    Posted in the Advanced Algebra Forum
    Replies: 7
    Last Post: April 23rd 2010, 08:17 PM
  3. about diagonalization
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: September 6th 2009, 05:48 PM
  4. A diagonalization example
    Posted in the Discrete Math Forum
    Replies: 2
    Last Post: April 28th 2009, 07:13 AM
  5. [SOLVED] Diagonalization question 2
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: December 18th 2008, 04:22 PM

Search Tags


/mathhelpforum @mathhelpforum