Prove that the vector space P of all polynomials is not finite-dimensional. Suppose that {p1(t), p2(t), (

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Prove that the vector space P of all polynomials is not finite-dimensional. Suppose that {p1(t), p2(t), ( ( ( ( Pk(t)} is a finite basis for P. Let dj = degree Pj (t). Establish a contradiction.

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Elementary Linear Algebra with Applications

ISBN: 978-0132296540

9th edition

Authors: Bernard Kolman, David Hill

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Question Posted: Jun 21, 2016 07:04 AM

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Prove that the vector space P of all polynomials is not finite-dimensional. Suppose that {p1(t), p2(t), (

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Let d max d 1 d 2 d k The p...View the full answer

Elementary Linear Algebra with Applications

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