Let S denote the set of all infinite sequences of real numbers with scalar multiplication and addition

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Let S denote the set of all infinite sequences of real numbers with scalar multiplication and addition defined by
α{an} = {αan}
{an} + {bn} = {an + bn}
Show that 5 is a vector space.

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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 12:49 AM

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Let S denote the set of all infinite sequences of real numbers with scalar multiplication and addition

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If a n b n c n are arbitrary elements of S then for each n a n b n b n a n and a n b n c n a ...View the full answer

Linear Algebra with Applications

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