Results 1 to 3 of 3

Math Help - multilinear algebra problem

  1. #1
    Newbie
    Joined
    Apr 2011
    Posts
    5

    multilinear algebra problem

    Let w a 2-form \in \Lambda^{k}((\mathbb{R}^{n})^{*}) with n odd. Prove that there exists nonzero vector u \in \mathbb{R}^{n} such that w(u, v)=0 for all v \in \mathbb{R}^{n}.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Drexel28's Avatar
    Joined
    Nov 2009
    From
    Berkeley, California
    Posts
    4,563
    Thanks
    21

    Re: multilinear algebra problem

    Quote Originally Posted by hizocar View Post
    Let w a 2-form \in \Lambda^{k}((\mathbb{R}^{n})^{*}) with n odd. Prove that there exists nonzero vector u \in \mathbb{R}^{n} such that w(u, v)=0 for all v \in \mathbb{R}^{n}.
    Hint: Think of a particular map f:\Lambda^2((\mathbb{R}^n)^\ast)\to\mathbb{R} for which what you are attempting to prove is equivalent to \ker f\ne 0.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Apr 2011
    Posts
    5

    Re: multilinear algebra problem

    i tried, but i always end up with the same problem :/
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Group Action On Space of Multilinear Forms
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: November 11th 2010, 02:10 PM
  2. Replies: 1
    Last Post: June 29th 2010, 10:43 AM
  3. Multilinear algebra
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: August 2nd 2009, 05:29 AM
  4. Please help me! An algebra problem
    Posted in the Algebra Forum
    Replies: 1
    Last Post: August 22nd 2007, 06:37 AM
  5. algebra problem world problem
    Posted in the Algebra Forum
    Replies: 2
    Last Post: May 21st 2007, 03:35 PM

Search Tags


/mathhelpforum @mathhelpforum