1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Inner product

  1. Nov 12, 2009 #1
    1. The problem statement, all variables and given/known data
    Define the inner product of two polynomials, f(x) and g(x) to be
    < f | g > = ∫-11 dx f(x) g(x)
    Let f(x) = 3 - x +4 x2.
    Determine the inner products, < f | f1 >, < f | f2 > and < f | f3 >, where
    f1(x) = 1/2 ,
    f2(x) = 3x/2
    and
    f3(x) = 5(1 - 3 x2)/4
    Expressed as a column vector these inner products are given by?


    Can anyone help me understand this question, what is the point of g(x)? any help on approach would be helpful
     
  2. jcsd
  3. Nov 12, 2009 #2

    George Jones

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    g is an arbitrary polynomial, so, g could be f1, g could be f2, etc.
     
  4. Nov 12, 2009 #3
    so do i just sub. f1 to find <f|f1> and take integral of f(x) and f1(x) ?
     
  5. Nov 12, 2009 #4
    Yes, you just sub in the appropriate polynomials. So the first one will be < f | f1 > = ∫-11 dx f(x) f1(x) = ∫-11 (3 - x +4 x2) (1/2) dx
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Inner product
  1. Inner Product (Replies: 2)

  2. Inner products (Replies: 1)

  3. Inner product (Replies: 10)

  4. Inner Product (Replies: 13)

  5. Inner product (Replies: 4)

Loading...