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Homework Help: 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


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    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:
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