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QUESTION

8. Let V = P1(R) be the real vector space of degree < 1 polynomials with inner product(f, g)v = / f(x)g(x) da(a) Apply Gram-Schmidt to the basis {1, x} to obtain an orthonormal basis.(b) Find one-to-one functionT : V - R2such that for all f, g E V, we have(f, g)v = (Tf, Tg) Euc.recall: Euclidean product is the same old dot product <<al,...an>, <bl,..bn> >=sum (albl,...,anbn)

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