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Homework Help: Linear mapping.

  1. May 26, 2009 #1
    1. The problem statement, all variables and given/known data

    Let T: R2 -> R1 be given by T(x,y) = (y^2)x + (x^2)y.
    Is T linear? justify your answer

    2. Relevant equations

    3. The attempt at a solution

    Yes it is a linear mapping because both points map onto one point.
  2. jcsd
  3. May 26, 2009 #2
    a function f(x) is linear if

    f(ax) = a f(x) ; where "a" is some constant

    and f(x+y) = f(x) + f(y)

    see if your function satisfies these
  4. May 27, 2009 #3


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    Science Advisor

    This is very distressing. Just about everything you say here is wrong. There are not two points being mapped to one. The single point (x,y) in R2 is mapped to a single point in R1. But, in any case, that has NOTHING to do with being "linear". Please review the definition of "linear mapping". (It is basically what waht said.)
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