For each of the following, show that the given vectors are linearly independent in C[0, 1]. (a)

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For each of the following, show that the given vectors are linearly independent in C[0, 1].
(a) cos πx, sin πx
(b) x3/2, x5/2
(c) 1, ex + e-x, ex - e-x
(d) ex, e-x, e2x

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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 12:50 AM

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For each of the following, show that the given vectors are linearly independent in C[0, 1]. (a)

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a W cos x sin x Since the Wronskian is not identically zero the vectors are linearl...View the full answer

Linear Algebra with Applications

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