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Homework Help: Linear Transformation, P2 to R2

  1. Jun 30, 2010 #1
    1. The problem statement, all variables and given/known data

    T(a+bx+cx^2) = [b+c
    What is Ker(T)

    2. Relevant equations

    I don't the relevent equation(s). I know that the definition of the kernal of a LT is the set of all vectors that are mapped to 0 by T.

    3. The attempt at a solution

    What I need is a place to start or a hint at a first step.
  2. jcsd
  3. Jun 30, 2010 #2


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    Gold Member

    Hint: T(?) = [0,0]
  4. Jun 30, 2010 #3


    Staff: Mentor

    For what values of a, b, and c is the vector <b + c, a - c> equal to the zero vector?

    BTW, there is no word "kernal." The one you're looking for is kernel.
  5. Jun 30, 2010 #4
    Thanks, I think I understand now.
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