[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.