Use Exercise 2.1.13 to show that the space of pairs (f(x), a) where f is a continuous

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Use Exercise 2.1.13 to show that the space of pairs (f(x), a) where f is a continuous scalar function and a is a real number forms a vector space. What is the zero element? Be precise! Write out the laws of vector addition and scalar multiplication.

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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 08:29 AM

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Use Exercise 2.1.13 to show that the space of pairs (f(x), a) where f is a continuous

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Here V C 0 while W R and so the indicated pairs belong to the Cartes...View the full answer

Applied Linear Algebra

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