5. Let V P2. For any p = ao + a1x + a2x² and q = bo + b1x + b2x² in V, define (p, g) = aobo + 2a1bı + azb2. Show that this defines an inner product on V.
5. Let V P2. For any p = ao + a1x + a2x² and q = bo + b1x + b2x² in V, define (p, g) = aobo + 2a1bı + azb2. Show that this defines an inner product on V.
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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