(a) Give an example of an interpolating polynomial through n + 1 points that has degree <...

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(a) Give an example of an interpolating polynomial through n + 1 points that has degree < n.
(b) Can you explain, without referring to the explicit formulae, why all the Lagrange interpolating polynomials based on n + 1 points must have degree equal to n?
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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