Let V = C1 [ - 1, 1 ] denote the vector space of continuously differentiable functions

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Let V = C1 [ - 1, 1 ] denote the vector space of continuously differentiable functions for - 1 ‰¤ x ‰¤ 1.
(a) Does the expression

(b) Answer the same question for the subspace W = (f ˆˆ V| f(0) =0) consisting of all continuously differentiable functions which vanish at 0.

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Question Posted: Jun 17, 2016 08:36 AM

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Let V = C1 [ - 1, 1 ] denote the vector space of continuously differentiable functions

Question:

f.g)f(x) g'(x)dx

Step by Step Answer:

a No because if fx is any constant function then f f 0 and so positive definiteness does not ...View the full answer

Applied Linear Algebra

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