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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.
     
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