Let Po, P₁, and p2 be the orthogonal polynomials described below, where the inner product on P4 is given by evaluation at -2, -1, 0, 1, and 2. Find the orthogonal projection of 3t³ onto Span{Po.P1 P2}. Po(t) = 2 P₁ (t) = 4t P₂ (t) = 1²-2 The orthogonal projection of 3t³ onto Span{P.P₁.P₂} is (Simplify your answer.)

Let Po, P₁, and p2 be the orthogonal polynomials described below, where the inner product on P4 is given by evaluation at -2, -1, 0, 1, and 2. Find the orthogonal projection of 3t³ onto Span{Po.P1 P2}. Po(t) = 2 P₁ (t) = 4t P₂ (t) = 1²-2 The orthogonal projection of 3t³ onto Span{P.P₁.P₂} is (Simplify your answer.)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.5: Subspaces, Basis, Dimension, And Rank

Problem 10EQ

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