Let v,, v,, and v, be vectors in R'. What can you say about the linear dependence or independence of these vectors in the following cases?1 V2!V3(a) Span {v,, v,, v,} is R³.O v, v,, and v, are linearly dependent.and v, are linearly independent.(b) Span {v,, v2, V3} is the same space as Span{v,, v,}.V.1and v, are linearly dependent.V,, and v, are linearly independent.V(c) Span {v,, v2, V3} is the same space as Span{v,}.O v,, V2, and v, are linearly dependent.Ov.O v, V2,and v, are linearly independent.

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Let v,, v,, and v, be vectors in R. What can you say about the linear dependence or independence of these vectors in the following cases? (a) Span {v,, v2, v,} is R³. and v, are linearly dependent. O v V,, V,, and v, are linearly independent. (b) Span {v,, v, v3} is the same space as Span{v,, v,}. 1' V1, V2 , and v, are linearly dependent. O v V1 V21 and v, are linearly independent. (c) Span {v,, v2, V3) is the same space as Span{v,}. V,, V2, and vz are linearly dependent. O v,, V2, and v, are linearly independent. 1'

Let v,, v,, and v, be vectors in R. What can you say about the linear dependence or independence of these vectors in the following cases? (a) Span {v,, v2, v,} is R³. and v, are linearly dependent. O v V,, V,, and v, are linearly independent. (b) Span {v,, v, v3} is the same space as Span{v,, v,}. 1' V1, V2 , and v, are linearly dependent. O v V1 V21 and v, are linearly independent. (c) Span {v,, v2, V3) is the same space as Span{v,}. V,, V2, and vz are linearly dependent. O v,, V2, and v, are linearly independent. 1'

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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