Let H be the subspace of P2 spanned by S = {P1, P2, P3, P4, Ps}. Is S a basis for H? If not, is there is a subset of S that is? Explain your answer. (Hint: dim H = 3). pi(t) = 1+t P2(t) = 1 -t P3(t) = 4 P4(t) = t + t2 ps(t) = 1 + 2t + t2

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