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Homework Help: Linear Transformation

  1. May 17, 2010 #1
    1. The problem statement, all variables and given/known data

    Verify the linear transformation & find the standard matrix A

    T:R2->R2, T(x,y) = (x1+5,x2)

    2. Relevant equations

    3. The attempt at a solution

    so i have to verify addition and multiplication

    T(u+v) = ((u1+v1)+5,(u2+v2)
    Does this fail.. it seems i will never be able to have the five on both sides where it looks like this... (u1+5,u2)+(v1+5,v2)

    Did i do this correctly
  2. jcsd
  3. May 17, 2010 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Yes. You have shown that it is not a linear transformation.
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