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Homework Help: Linear Operators

  1. Nov 11, 2007 #1
    [SOLVED] Linear Operators

    Oops, nevermind I figured out my mistake.

    1. The problem statement, all variables and given/known data
    Determine which of the following mappings T: P1 -> p1 over R are linear operators.
    1) T(a0 + a1x ) = a0*x
    2) T(a0 + a1x ) = a1a0 + a0*x

    3. The attempt at a solution

    My book states that if U = V (vector spaces) then the linear transformation T: U->U is called a linear operator on U.

    So that works for the first problem; however, the second which is also P1 -> P1 is NOT a linear op(according to the answer key)... so I am a bit confused as to why that is.
    Last edited: Nov 11, 2007
  2. jcsd
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