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 - adding and subtracting?

  1. Jan 17, 2008 #1
    [SOLVED] Linear transformation - adding and subtracting?

    1. The problem statement, all variables and given/known data

    Suppose T : P2 -> P2 is a linear transformation satisfying T(3 − x + 4x^2) = 1 + x − x^2 and
    T(2 − 3x + 2x^2) = 7 + 3x + 2x^2.
    Find T(7x + 2x^2).

    3. The attempt at a solution

    First of all, it's linear. To find T(2x^2), I can say -x^2-2x^2 = -3x^2 = T(2x^2)? And similarily for T(7x)?
  2. jcsd
  3. Jan 17, 2008 #2
    No wait, I solved it.. I can't do what I did in my original post.

    I have to solve a linear system of equations to find T(7x + 2x^2) written from T(3 − x + 4x^2) and T(2 − 3x + 2x^2).

    Bottom line is, I solved it.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Linear transformation - adding and subtracting?
  1. Linear transformations (Replies: 4)

  2. Linear transformation (Replies: 4)

  3. Linear transformation (Replies: 18)