Mathematics

Ezra Tran

14 June, 06:04

Let P3 have the inner product as in Exercise 9, with p0, p1, and q the polynomials described there. Find the best approximation to by polynomials in Span. Reference: Let P3 have the inner product given by evaluation at

a) Compute the orthogonal projection of p2 onto the subspace spanned by p0 and p1.

b) Find a polynomial q that is orthogonal to p0 and p1, such that is an orthogonal basis for Span Scale the polynomial q so that its vector of values at.