Results 1 to 2 of 2

Math Help - Determining Linearly Dependent Parameters

  1. #1
    WJB
    WJB is offline
    Newbie
    Joined
    Mar 2010
    Posts
    1

    Determining Linearly Dependent Parameters

    Hi,

    I have a system of differential equations, I know that some of the parameters are linearly dependent since I have read this in papers on a similar topic but my question is:

    How do I determine which parameters are linearly dependent?

    WJB
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member Aryth's Avatar
    Joined
    Feb 2007
    From
    USA
    Posts
    652
    Thanks
    2
    Awards
    1
    If you want to know if two parameters are linearly dependent, there are two ways. One would be to put them in a linear combination and if at least one coefficient cannot be zero (i.e you can represent one parameter in terms of another), then they are linearly dependent. If these parameters are all dependent on a common variable, you can use Abel's Identity and take the Wronskian of them, if it is equal to zero over the entire interval of the common variable then the two parameters are linearly dependent.


    There are probably other ways (in fact, I know there are...), but these two are pretty easy.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. linearly dependent in Q, linearly independent in R
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: April 12th 2011, 02:44 PM
  2. Linearly dependent
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: March 9th 2011, 06:46 PM
  3. Linearly Dependent
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: March 24th 2010, 05:44 PM
  4. linearly dependent
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: April 21st 2009, 06:35 AM
  5. linearly dependent
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: December 20th 2008, 06:37 PM

Search Tags


/mathhelpforum @mathhelpforum