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!

Homework Help: Polynomial Mapping

  1. Sep 11, 2010 #1

    I'm a new student and don't have any basics for linear algebra. thanks

    1. The problem statement, all variables and given/known data

    Q1. Let X be the vector space of polynomials of order less than or equal to M.

    a) show that the set B = {1,x,...x^M}

    b) consider the mapping T from X to X as defined as :

    f(x)=T g(x) = d/dx g(x)

    (i) Show that T is linear
    (ii) Derive matrix representation for T in terms of the basis B
    (iii) What are the eigenvalues of T
    (iv) Compute one eigenvector associated with one of the eigenvalues

    Thanks again

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted