Let po, P1, and p, be the orthogonal polynomials described below, where the inner product on P, is given by evaluation at - 2, - 1, 0, 1, and 2. Find the orthogonal projection of 213 onto...


Let po, P1, and p, be the orthogonal polynomials described below, where the inner product on P, is given by evaluation at - 2, - 1, 0, 1, and 2. Find the orthogonal projection of 213 onto Span{pn.P1.P2).<br>Po (t) = 1<br>P, (1) = 3t<br>P2 (t) = 12 -2<br>The orthogonal projection of 2t3 onto Span{po.P1.P2} is | (Simplify your answer.)<br>

Extracted text: Let po, P1, and p, be the orthogonal polynomials described below, where the inner product on P, is given by evaluation at - 2, - 1, 0, 1, and 2. Find the orthogonal projection of 213 onto Span{pn.P1.P2). Po (t) = 1 P, (1) = 3t P2 (t) = 12 -2 The orthogonal projection of 2t3 onto Span{po.P1.P2} is | (Simplify your answer.)

Jun 04, 2022
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