2. Let T: P₁ (R) → R2 be the map given by T(f) = (f(1),f" (1)) where P₁ (R) is the set of polynomials of degree 4 or less and f"(1) is the evaluation of the third derivative of f at 1, i.e.. d.r.³ =1 (a) Show that T is a linear map.

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