Results 1 to 2 of 2

Math Help - leading coefficient

  1. #1
    Super Member
    Joined
    Aug 2009
    Posts
    639

    leading coefficient

    given that { f(x), f' (x)..., f^n (x)} is a basis for Pn,

    then a_0 f(x)+ a_1 f'(x)+...a_n f^n (x)=0 , hw can you tell that the leading coefficient is a_0 a_n and that

    for a_1 f'(x)+...a_n f^n (x)=0 where a_0 f(x)=0 then the leading coefficient is 2a_1 a_n?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Nov 2010
    Posts
    193
    I'm not sure what you mean by leading coefficient; leading coefficient of what?

    Since the set \left\{ f,f^\prime ,\ldots ,f^{(n)}\right\} is a basis for \mathbb{P}_n, the first equation you have implies each a_i is 0.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 5
    Last Post: November 27th 2011, 06:16 PM
  2. Replies: 0
    Last Post: February 25th 2011, 01:15 AM
  3. Replies: 1
    Last Post: December 11th 2010, 11:16 PM
  4. how to find the leading coefficient
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: October 1st 2009, 09:12 AM
  5. Replies: 5
    Last Post: May 11th 2008, 03:24 PM

Search Tags


/mathhelpforum @mathhelpforum