Question: (a) Prove that the set B = {p0 (x), p1 (x) , . . . , Pn(x)} of Lagrange polynomials is linearly independent in Pn.

(a) Prove that the set B = {p0 (x), p1 (x) , . . . , Pn(x)} of Lagrange polynomials is linearly independent in Pn.
(b) Deduce that B is a basis for Pn.

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