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 Transformation help

  1. Oct 30, 2005 #1
    Okay, I will just admit that I stink at using mathematical proof in Linear. I hope someone can give me a push with this problem

    Prove that T : R(real)^3 -> R(real)^3 defined by T([yz,xz,zy]) is not a linear transformation.

    Reading my book I know that I need to prove that the transformation is closed under additivity and scalar multiplication, but alas I do not know where to begin with this. Any help would be appreciated.
  2. jcsd
  3. Oct 30, 2005 #2
    I never did any proofs in linear algebra, but I think you can prove it by showing counter example.
    linear transformation means T(v+w) = T(v) + T(w) where v,w are vectors in R^3
    take v=[1 0 0] and w=[0 0 1] and see what you can when you apply transformation.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook