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Homework Help: A simple application of a liner transformation

  1. Oct 8, 2012 #1
    Let T: P2(ℝ) --> P2(ℝ) be defined by T(p(x)) = p( x-1)

    a) Find the matrix of T with respect to the standard basis of P2(ℝ)


    Question: So I know how to do this for the most part, I'm just having a problem in terms of the constant 1 from the standard basis of {1, x , x2 from P2(ℝ). Applying the transformation to the constant 1; should i get a 0, or do I get the constant 1 back again?

    Cheers
     
  2. jcsd
  3. Oct 8, 2012 #2
    The constant 1 is actually the function

    [tex]p:\mathbb{R}\rightarrow \mathbb{R}:x\rightarrow 1[/tex]

    From this, it is clear that indeed p(x-1)=1.
     
  4. Oct 8, 2012 #3
    all I needed to know. Thanks a lot.
     
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