Write the following polynomials as linear combinations of monic Legendre polynomials. Use orthogonality to compute the coefficients:

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Write the following polynomials as linear combinations of monic Legendre polynomials. Use orthogonality to compute the coefficients:
(a) t3
(b) t4 + t2
(c) 7t4 + 2t3 - t

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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 08:50 AM

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Write the following polynomials as linear combinations of monic Legendre polynomials. Use orthogonality to compute the coefficients:

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a t 3 q 3 t 35 q 1 t where b t 4 t 2 q 4 t 137 q ...View the full answer

Applied Linear Algebra

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