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: Finding N(T) and R(T)

  1. Oct 28, 2012 #1
    Alright this problem has really gotten me confused. I skipped 1 and 2 because I know how to do those, but 3 and 4, I do not.

    I think the problem statement is saying the linear transformation transforms the vector space V to R^2. and it's defined by T(f)=....

    For 3) find a basis for N(T)

    The book defines N(T) as = {v ε V l T(v)=0}
    So I must find T such that T(v)=0.

    I have no clue how to do this problem. can someone give me a hint?
    I've looked at other types of problems where we find a basis for N(T) and those seem easy, but this one just got me confused.

    What is f?
  2. jcsd
  3. Oct 28, 2012 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Gold Member

    Where are the problems?

    I see none !

    Added in Edit:

    Here it is:

    Last edited: Oct 29, 2012
  4. Oct 28, 2012 #3
    Oh sorry.

    Attached Files:

Share this great discussion with others via Reddit, Google+, Twitter, or Facebook