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!

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

    micromass

    User Avatar
    Staff Emeritus
    Science Advisor
    Education Advisor
    2016 Award

    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.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: A simple application of a liner transformation
Loading...