1. Limited time only! Sign up for a free 30min personal 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!

Homework Help: Linear Transformations problem

  1. Feb 5, 2010 #1
    1. The problem statement, all variables and given/known data
    Determine if the transformation T: [tex]R^{2}\rightarrow R^{2}[/tex] is linear if T(x, y)= (x+1, 2y)

    2. Relevant equations
    1. T(u + v) = T(u) + T(v)
    2. T(c*u) = cT(u)
    3. T(0) = 0

    3. The attempt at a solution
    I believe I have to use the above provided equations to determine whether T(x, y)= (x+1, 2y) is linear or not. If I use the third equation above, I get T(0,0) = T(0 + 1, 0) = (1, 0). Therefore the transformation is not linear. Am I right?
    Last edited: Feb 5, 2010
  2. jcsd
  3. Feb 5, 2010 #2


    User Avatar
    Homework Helper

Share this great discussion with others via Reddit, Google+, Twitter, or Facebook