A polynomial p(x) is even if p(- x) = p(x) and odd if p(- x) = -

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A polynomial p(x) is even if p(- x) = p(x) and odd if p(- x) = - p(x). Let En and On denote the sets of even and odd polynomials in Pn.
Show that On is a subspace of Pn and find dim On.

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Linear Algebra With Applications

ISBN: 9780070985100

7th Edition

Authors: W. Keith Nicholson

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Question Posted: Jun 21, 2016 06:42 AM

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A polynomial p(x) is even if p(- x) = p(x) and odd if p(- x) = -

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If px a 0 a 1 x a n x n is in O n then p x px so a 0 a 1 x ...View the full answer

Linear Algebra With Applications

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