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: Matrix Representation Question

  1. Apr 22, 2012 #1
    1. The problem statement, all variables and given/known data
    This is a linear algebra matrix representation problem I have been trying to solve. I seem to keep getting it wrong, so I was hoping I could get some help.

    The linear operator T: P2-->P2 is defined by T(P(x)) = xP'(x)-P(x). B={1,x,x2}, and B'={x,1+x,-1+x2} are two ordered bases for P2.
    Find the matrix representation for T relative to the ordered basis B'. ([T]B')

    3. The attempt at a solution

    So far I have: xP'(x)-P(x) = ax2-c. Which as a matrix is: [0,-1,1;0,0,0;0,1,1] . I got this by putting ax2-c into [T(x)], [T(1+x)] and [T(-1+x2]. I have no idea if this is right or wrong, but I seem to keep making mistakes on this so any help is really appreciated.

    I know how to get [T]B which is [-1,0,0;0,0,0;0,0,1], I just keep messing up on [T]B'.
  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