Results 1 to 2 of 2

Math Help - Matrix proof.

  1. #1
    Newbie
    Joined
    Oct 2010
    Posts
    17

    Matrix proof.

    Hi, i do not know how to go about solving this question. Could someone show me the possible steps to prove this theory? I know what the elementary row operations are... but i still don't know how to prove this. Any help is appreciated. Thank you.

    question:
    If A, B are (n x n) and invertible prove that A can be reduced to B using elementary row operations (elementary matrices).
    hint: invertible matrices can be reduced to I
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor FernandoRevilla's Avatar
    Joined
    Nov 2010
    From
    Madrid, Spain
    Posts
    2,162
    Thanks
    45
    If R_1,\ldots,R_p is a sequence of elementary row operations transforming A\sim\ldots\sim I and T_1,\ldots,T_q is a sequence of elementary row operations transforming B\sim\ldots\sim I then,

    R_1,\ldots,R_p,T_q^{-1},\ldots ,T_1^{-1}

    is a sequence of elementary row operations that transforms A\sim\ldots\sim B .
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Matrix Proof
    Posted in the Advanced Algebra Forum
    Replies: 13
    Last Post: September 9th 2011, 03:53 AM
  2. Replies: 2
    Last Post: February 19th 2011, 06:57 AM
  3. Matrix Proof
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: November 1st 2008, 10:18 PM
  4. Matrix Proof
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: October 22nd 2008, 06:11 PM
  5. Proof for matrix
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: March 6th 2007, 10:10 AM

Search Tags


/mathhelpforum @mathhelpforum