Question: Prob 4. [Lagrange interpolation.] Prove using duality: given distinct real data sites xj and arbitrary real data yj , j = 0, . . .

Prob 4. [Lagrange interpolation.] Prove using duality: given distinct real data sites xj and arbitrary real data yj , j = 0, . . . , n, there is a unique polynomial p Pn(IR) such that p(xj ) = yj , for all j = 0, . . . , n. 4

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