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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

    radou

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    Homework Helper

    Correct.
     
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