Show that S = {x 2 + 3x 2, 2x 2 + 5x 3, x

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Show that S = {x² + 3x − 2, 2x² + 5x − 3, −x² − 4x + 4} is a basis of P2(R). Recall that for a basis, you need to show

(i) span(S) = P2(R) and

(ii) S is linearly independent.

Related Book For answer-question

Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Posted Date: Apr 28, 2023 05:36 AM

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Show that S = {x 2 + 3x 2, 2x 2 + 5x 3, x

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Algebra Graduate Texts In Mathematics 73

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