Question: Define T : R 2 R 2 by T (p) = p(1) + p(1)t + p(1)t 2 . a. Find T(p) when p(t) =

Define T :  R2 → R2 by T (p) = p(1) + p(1)t + p(1)t2. 

a. Find T(p) when p(t) = 1 + t + t2. Is p an eigenvector of T? If p is an eigenvector, what is its eigenvalue? 

b. Find T(p) when p(t) = - 2 + t. Is p an eigenvector of T? If p is an eigenvector, what is its eigenvalue?

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