Let S = {v1, . . . , vn} be a set of vectors in a vector

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Let S = {v1, . . . , vn} be a set of vectors in a vector space V with the property that every vector in V can be written as a linear combination of v1, . . . , vn in exactly one way. Prove that S is a basis for V.

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Linear Algebra A Modern Introduction

ISBN: 978-1285463247

4th edition

Authors: David Poole

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Question Posted: Apr 15, 2016 06:32 AM

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Let S = {v1, . . . , vn} be a set of vectors in a vector

Question:

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We must show that S spans V and that S is linearly independent First since every vector can ...View the full answer

Linear Algebra A Modern Introduction

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