Let Po, P₁, and p₂ be the orthogonal polynomials described below, where the inner product on P4, is given by evaluation at -2

Question

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 3t^3 onto Span (Po.P₁ P₂).
Po(t) = 4
P₁ (t) = 2t
P₂ (t) = t^2-2

Kunduz · Accepted Answer

Click to see the answer