By inspection, which one of the following statements is true regarding the set of vectors {u,v,w)? u = O a. The set is linearly independent, because none of the vectors is a multiple of the other O b. The set is linearly dependent, because the set contains the zero vector O. None of the answers is correct O d. The set is linearly dependent, because the set of vectors contains more vectors than there are entries in each vector

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.CR: Review Exercises
Problem 78CR: Let v1, v2, and v3 be three linearly independent vectors in a vector space V. Is the set...
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By inspection, which one of the following statements is true regarding the set of vectors
{uv.w)?
u =
O a. The set is linearly independent, because none of the vectors is a multiple of the other
O b. The set is linearly dependent, because the set contains the zero vector
O . None of the answers is correct
O d. The set is linearly dependent, because the set of vectors contains more vectors than
there are entries in each vector
Transcribed Image Text:By inspection, which one of the following statements is true regarding the set of vectors {uv.w)? u = O a. The set is linearly independent, because none of the vectors is a multiple of the other O b. The set is linearly dependent, because the set contains the zero vector O . None of the answers is correct O d. The set is linearly dependent, because the set of vectors contains more vectors than there are entries in each vector
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