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11 Nov 2019
Full working is greatly appreciated, thank you very much! :)
Equip the real vector space V = R[x] (polynomials with real coefficients) with the inner product (f,g) = 1 -1 f(x)g(x)(1-x)dx, for all f,g V. Po(x) = 1, p1(x) = 3x + 1, p2 = 5x2 + 2x - 1. Show that the three polynomials p0, p1, p2 are mutually orthogonal in V. Show that the three polynomials p0, p1, p2 span the subspace { f V : deg(f) Comments
Full working is greatly appreciated, thank you very much! :)
Equip the real vector space V = R[x] (polynomials with real coefficients) with the inner product (f,g) = 1 -1 f(x)g(x)(1-x)dx, for all f,g V. Po(x) = 1, p1(x) = 3x + 1, p2 = 5x2 + 2x - 1. Show that the three polynomials p0, p1, p2 are mutually orthogonal in V. Show that the three polynomials p0, p1, p2 span the subspace { f V : deg(f)
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Sixta KovacekLv2
7 Apr 2019