Which of these are members of the span [{cos2 x, sin2 x}] in the vector space of

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Which of these are members of the span [{cos2 x, sin2 x}] in the vector space of real-valued functions of one real variable?
(a) f(x) = 1
(b) f(x) = 3 + x2
(c) f(x) = sin x
(d) f(x) = cos(2x)

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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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Question Posted: Jun 01, 2016 01:51 AM

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Which of these are members of the span [{cos2 x, sin2 x}] in the vector space of

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a Yes it is in that span since 1 cos 2 x 1 sin 2 x fx b No since r 1 cos 2 x r ...View the full answer

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