Show that(p(x), q(x)) = p(0)q(0) +p(1)q(1) +p(2)q(2)defines an inner product on P2.

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Answered: Show that (p(x), g(x)) = p(0)q(0)…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.1: Inner Product Spaces

Problem 12EQ

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Show that (p(x), g(x)) = p(0)q(0) +p(1)q(1) + p(2)q(2) defines an inner product on P2.