Let P 3 have the inner product given by evaluation at -3,-1, 1, and 3. Let p
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Let P3 have the inner product given by evaluation at -3,-1, 1, and 3. Let p0(t) = 1, p1(t) = t, and p2(t) = t2.
a. Compute the orthogonal projection of P2 onto the sub - space spanned by p0 and p1.
b. Find a polynomial q that is orthogonal to p0 and p1, such that {p0.p1.q} is an orthogonal basis for Span {p0, p1, p2}. Scale the polynomial q so that its vector of values at (-3,-1, 1, 3) is (1,-1,-1, 1).
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Related Book For
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
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