Let S be a set of linearly dependent vectors in R". Select the best statement. A. The set S cannot span R". B. The set S spans R", as long as no vector in S is a scalar multiple of another vector in the set. C. The set S does not span R" if some vector in S is a scalar multiple of another vector in the set. D. The set S could, but does not have to, span R". E. The set S must span R". F. The set S spans R", as long as it does not include the zero vector. G. none of the above

Let S be a set of linearly dependent vectors in R". Select the best statement. A. The set S cannot span R". B. The set S spans R", as long as no vector in S is a scalar multiple of another vector in the set. C. The set S does not span R" if some vector in S is a scalar multiple of another vector in the set. D. The set S could, but does not have to, span R". E. The set S must span R". F. The set S spans R", as long as it does not include the zero vector. G. none of the above

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.4: Spanning Sets And Linear Independence

Problem 74E: Let u, v, and w be any three vectors from a vector space V. Determine whether the set of vectors...

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