Consider the inner product space C[0, 1] with inner product defined by Let S be the subspace

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Consider the inner product space C[0, 1] with inner product defined by

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 ˆšx by a function from the subspace S.

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Linear Algebra with Applications

ISBN: 978-0131857858

7th edition

Authors: Steven J. Leon

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Question Posted: Jun 13, 2016 12:58 AM

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Consider the inner product space C[0, 1] with inner product defined by Let S be the subspace

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(f. g) = f(x)g(x) dx

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a b 2x 1 2 1 0 2x 1 2 dx 13 Therefore 1 ...View the full answer

Linear Algebra with Applications

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