If V is vector space that has a basis contain n vectors, then every subspace of V must only have basis contain exactly n vectors The dimension of the subspace is n Dimension of the vector space is n O The set contain more than n vector is linearly independent

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 41CR: Let B={(0,2,2),(1,0,2)} be a basis for a subspace of R3, and consider x=(1,4,2), a vector in the...
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If V is vector space that has a basis contain n vectors, then
every subspace of V must only have basis contain exactly n vectors
The dimension of the subspace is n
Dimension of the vector space is n
O The set contain more than n vector is linearly independent
Transcribed Image Text:If V is vector space that has a basis contain n vectors, then every subspace of V must only have basis contain exactly n vectors The dimension of the subspace is n Dimension of the vector space is n O The set contain more than n vector is linearly independent
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