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.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 29E

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