Answered: Problem 2.1 1. Let S be a linearly… | bartleby

Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section: Chapter Questions

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Asap both questions plz solve within 30 minutes

Problem 2.1
1. Let S be a linearly independent set. Is there a proper subset SCS such that span(S) = span(S')?
Justify your answer.
2. Let S be a subset of a vector space V and fix a vector x S. Prove that if x E span(S), then
SU{x} is linearly dependent.
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