Given any vector sp S is any nonempty E. then the small 11

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.1: Vector Spaces And Subspaces
Problem 31EQ: In Exercises 24-45, use Theorem 6.2 to determine whether W is a subspace of V. V=Mnn, W is the set...
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Given any vector space E, if
S is any nonempty subset of
E.
then the smallest subspace
(S) (or Span(S)) of E
containing $ is the set of all
(finite) linear combi nations
of elements from S.
Transcribed Image Text:Given any vector space E, if S is any nonempty subset of E. then the smallest subspace (S) (or Span(S)) of E containing $ is the set of all (finite) linear combi nations of elements from S.
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