Answered: (u, v) is an inner product. Prove that…

(u, v) is an inner product. Prove that the given statement is an identity. Prove that llu + vll =llu - vll if and only if u and v are orthogonal.

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 20EQ

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Question

(u, v) is an inner product. Prove that the given statement is an identity. Prove that llu + vll =llu - vll if and only if u and v are orthogonal.

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Prove the given statement as follows.

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$Inner Product Spaces$

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