Let a e R \ {0}, and W = {p € Pa (IR) | p(a) = 0}. Prove that {(* – a), (* – a)?,... , (* – a)} is a basis for W.(This is closely related to "Taylor polynomials" which appear at the end of 1st year calculus.)

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Answered: (This is closely related to "Taylor…

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Advanced Math

(This is closely related to "Taylor polynomials" which appear at the end of 1st year calculus.)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter5: Orthogonality

Section: Chapter Questions

Problem 20RQ

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Let a e R \ {0}, and W = {p € Pa (IR) | p(a) = 0}. Prove that {(* – a), (* – a)?,... , (* – a)} is a basis for W.
(This is closely related to "Taylor polynomials" which appear at the end of 1st year calculus.)

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