(a) Find the monic Legendre polynomial of degree 5 using the Gram-Schmidt process. Check your answer by...

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(a) Find the monic Legendre polynomial of degree 5 using the Gram-Schmidt process. Check your answer by using the Rodrigues formula.
(b) Use orthogonality to write t5 as linear combinations of Legendre polynomials.
(c) Repeat the exercise for degree 6.
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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