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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.

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# Homework Help: Linear Operators

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