Results 1 to 2 of 2

Math Help - Sign of permutation and determinant

  1. #1
    Newbie
    Joined
    May 2010
    Posts
    15

    Sign of permutation and determinant

    Hi,

    I have this proof that I can't really show, can someone help me out?

    Prove that, if P \in R^{n,n} represents the permutation \pi \in S_n of columns, i.e. PA = (a_{\pi(1)},...,a_{\pi(n)}), then we have sign(\pi) = det(P).
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Mar 2010
    From
    Florida
    Posts
    3,093
    Thanks
    5
    Quote Originally Posted by TheFangel View Post
    Hi,

    I have this proof that I can't really show, can someone help me out?

    Prove that, if P \in R^{n,n} represents the permutation \pi \in S_n of columns, i.e. PA = (a_{\pi(1)},...,a_{\pi(n)}), then we have sign(\pi) = det(P).
    I don't have a good proof of this but that method becomes too difficult when you are using matrices greater than 3x3
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Where does the sign go?
    Posted in the Calculus Forum
    Replies: 4
    Last Post: December 9th 2011, 06:28 AM
  2. sign of a determinant
    Posted in the Algebra Forum
    Replies: 0
    Last Post: August 7th 2011, 11:01 AM
  3. sign
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: June 2nd 2009, 10:53 PM
  4. What does this sign mean?
    Posted in the Algebra Forum
    Replies: 1
    Last Post: March 19th 2009, 08:10 AM
  5. Sign Charts
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: February 20th 2009, 03:42 PM

Search Tags


/mathhelpforum @mathhelpforum