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Linear Algebra: A Modern Introduction

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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Question

Justify that (•, ·) defines an inner product on R?.
the function (', ·) defined on R? as follows:
(u, v)
:= 5u1v1 – 2u1V2 – 2uzv1 + 4uQV2,
U1
where u =
v1
V =
E R?
U2
V2

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