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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
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