Let x1, x2, ..., xn be the roots of the Legendre polynomial Pn. If the Ai's are
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will be exact for all polynomials of degree less than 2n.
(a) If 1 Pj(x1)A1 + Pj(x2)A2 + ........ + Pj(xn)An = (l, Pj) = 0
(b) Use the results from parts (a) and (b) of Exercise 15 to set up a nonhomogeneous n x n linear system for determining the coefficients A1, A2, ... , An.
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