Consider the inner product space C[0, 1] with inner product defined by f , g = 1 0
Chapter 5, Problem 30(choose chapter or problem)
Consider the inner product space C[0, 1] with inner product defined by f , g = 1 0 f(x)g(x) dx Let S be the subspace spanned by the vectors 1 and 2x 1. (a) Show that 1 and 2x 1 are orthogonal. (b) Determine 1 and 2x 1. (c) Find the best least squares approximation to x by a function from the subspace S. 31.
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