Question: Let T: P4 P3 be given by T (p(x)) = p(x), where p(x) is the derivative. Find a basis of R(T). Is T surjective?

Let T: P4 → P3 be given by T (p(x)) = p′(x), where p′(x) is the derivative. Find a basis of R(T). Is T surjective?

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