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 t3 onto Span{Po.P₁ P2}. Po(t) = 2 P₁ (t) = 4t P₂ (t) = 1²-2 P2 The orthogonal projection of t3 onto Span{Po.P₁ P2} is (Simplify your answer.)

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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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 t3 onto Span{po,P₁, P₂}.
Po(t) = 2
P₁ (t) = 4t
P₂ (t) = 1²-2
The orthogonal projection of t³ onto Span Po P₁ P2} is
(Simplify your answer.)
Transcribed Image Text: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 t3 onto Span{po,P₁, P₂}. Po(t) = 2 P₁ (t) = 4t P₂ (t) = 1²-2 The orthogonal projection of t³ onto Span Po P₁ P2} is (Simplify your answer.)
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