1. Not finding help here? Sign up for a free 30min 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!

Linear transformation and finding the matrix

  1. May 13, 2008 #1
    1. The problem statement, all variables and given/known data
    Define T: P2-->R3 by

    Find the matrix for T relative to the basis {1,t,t^2} for P2 and the standard basis for R3.

    3. The attempt at a solution

    I'm not sure how to go about this. Start off by computing T(1)? But am I trying to see what the transformation does to p(t)=1 or just 1?
  2. jcsd
  3. May 13, 2008 #2


    User Avatar
    Science Advisor
    Homework Helper

    Hi fk378! :smile:

    I'm assuming that P2 is the quadratic expressions with real coefficients.

    So the vector (a,b,c) in P2 relative to the basis {1,t,t^2} is at² + bt + c.

    Then (a,b,c)(-1) = … ? (a,b,c)(0) = … ? (a,b,c)(1) = … ? :smile:
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?