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1. (5 points) Let P3 be the vector space of all polynomials of degree less than 4, with an orthonormal basis (fi, f2, f3,

1. (5 points) Let P3 be the vector space of all polynomials of degree less than 4, with an orthonormal basis (fi, f2, f3, fa}. Let f P3 be such that 1 (,,) = j = 1,2,3,4. Given that f(1) = j, find f(1).

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