Let S = {v1, . . . , vn} be a linearly independent set in a vector

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Let S = {v1, . . . , vn} be a linearly independent set in a vector space V. Show that if v is a vector in V that is not in span(S), then S' = {v1, . . . , vn, v} is still linearly independent.

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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 06:27 AM

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Let S = {v1, . . . , vn} be a linearly independent set in a vector

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Suppose that av c 1 v 1 c n v n 0 so that c 1 v 1 c n v n av If a 0 then di...View the full answer

Linear Algebra A Modern Introduction

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