Answered: Assume thát B is a basis for an…

Assume thát B is a basis for an finite-dimensional inner product space V, and let a E V. Prove that if (a, b) = 0 for all b E B, then a = 0.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.3: Change Of Basis

Problem 21EQ

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3. Assume that B is a basis for an finite-dimensional inner product space V, and let a E V. Prove that if
(a, b) = 0 for all b E B, then a = 0.

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