Question: Define T : P 2 R 2 by T For instance, if p(t) = 3 + 5t + 7t 2 , then T a.

Define T : P2 → R2 by T (P) = P(0) P(1) For instance, if p(t) = 3 + 5t + 7t2, then Timage


a. Show that T is a linear transformation.


b. Find a polynomial p in P2 that spans the kernel of T, and describe the range of T.

(P) = P(0) P(1)

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