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Consider W = Span{p1(t),p2(t)} where p1(t) = 1−t^2 and p2(t) = 3+2t are the polynomials defined...

Consider W = Span{p1(t),p2(t)} where p1(t) = 1−t^2 and p2(t) = 3+2t are the polynomials defined on the interval [−1,1]. Find the orthogonal projection of q(t) = t^2−t−1 onto W.

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