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.)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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