Results 1 to 5 of 5

Math Help - how do you prove determinant expand by the Leibniz formula or the Laplace formula ...

  1. #1
    Junior Member
    Joined
    Feb 2010
    Posts
    25

    how do you prove determinant expand by the Leibniz formula or the Laplace formula ...

    how do you prove determinant expand by the Leibniz formula or the Laplace formula is the same?
    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: how do you prove determinant expand by the Leibniz formula or the Laplace formula

    Quote Originally Posted by victorlui View Post
    how do you prove determinant expand by the Leibniz formula or the Laplace formula is the same?
    It depends what your definition of the determinant is. Do you define it as the unique alternating multilinear form K:\mathbb{R}^n\times\cdots\times\mathbb{R}^n\to \mathbb{R} for which \det(I)=1? If so, see my blog post here. If not, give us the definition you're using.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jul 2011
    Posts
    8

    Re: how do you prove determinant expand by the Leibniz formula or the Laplace formula

    Hello,

    It sounds more difficult as it really is.

    You know the determinant is a multilinear map and the definition of the adjugate matrix.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Junior Member
    Joined
    Feb 2010
    Posts
    25

    Re: how do you prove determinant expand by the Leibniz formula or the Laplace formula

    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor Drexel28's Avatar
    Joined
    Nov 2009
    From
    Berkeley, California
    Posts
    4,563
    Thanks
    21

    Re: how do you prove determinant expand by the Leibniz formula or the Laplace formula

    Quote Originally Posted by victorlui View Post
    Then I have no idea what your question means. What are you actually asking?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. IVP using Leibniz formula
    Posted in the Advanced Applied Math Forum
    Replies: 3
    Last Post: May 11th 2011, 01:41 AM
  2. Leibniz formula and chain rule
    Posted in the Calculus Forum
    Replies: 1
    Last Post: September 26th 2010, 02:07 PM
  3. Leibniz's formula
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 30th 2008, 02:45 PM
  4. Polynomials (expand the formula)
    Posted in the Algebra Forum
    Replies: 1
    Last Post: April 13th 2008, 02:05 PM
  5. formula for matrix determinant
    Posted in the Advanced Algebra Forum
    Replies: 5
    Last Post: December 5th 2007, 06:55 AM

Search Tags


/mathhelpforum @mathhelpforum