12 - 25Let P, have the inner product given by evaluation at - 7, - 1, 1, and 7. Let Po (t) = 3, p, (t) = 2t, and q(t) =Notice that these polynomials form an orthogonal set24with this inner product. Find the best approximation to p(t) = t by polynomials in Span/Po.P1.9).The best approximation to p(t) = t° by polynomials in Span (Po.P1.9) is-

Given, ℙ3 have the inner product given by evaluation at -7, -1, 1 and 7. And P0(t)=3, p1(t)=2t,…

Answered: Let P3 have the inner product given by…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.4: The Lu Factorization

Problem 34EQ

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Let P3 have the inner product given by evaluation at -7, -1, 1, and 7.