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Find four vectors v1, v2, V3, v4 in R such that 1. no two are collinear (in particular, none of the vectors is zero) 2. the set {v1, v2, V3, V4} is linearly dependent, and 3. v4 is not in Span{v1, v2, v3}. 1 1 1 1 1 1 U3 = V4 1 1 9.

Find four vectors v1, v2, V3, v4 in R such that 1. no two are collinear (in particular, none of the vectors is zero) 2. the set {v1, v2, V3, V4} is linearly dependent, and 3. v4 is not in Span{v1, v2, v3}. 1 1 1 1 1 1 U3 = V4 1 1 9.

Elementary Linear Algebra (MindTap Course List)
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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Find four vectors v1, v2, V3, v4 in R* such that 1. no two are collinear (in particular, none of the vectors is zero) 2. the set {v1, v2, V3, V4} is linearly dependent, and 3. v4 is not in Span{v1, v2, v3}. 1 1 1 1 1 1 V3 = V4 = 1 1 9
Transcribed Image Text:Find four vectors v1, v2, V3, v4 in R* such that 1. no two are collinear (in particular, none of the vectors is zero) 2. the set {v1, v2, V3, V4} is linearly dependent, and 3. v4 is not in Span{v1, v2, v3}. 1 1 1 1 1 1 V3 = V4 = 1 1 9
Find four vectors v1, v2, V3, v4 in R* such that 1. no two are collinear (in particular, none of the vectors is zero) 2. the set {v1, v2, V3, V4} is linearly dependent, and 3. v4 is not in Span{v1, v2, v3}. 1 1 1 1 1 1 V3 = V4 = 1 1 9
Transcribed Image Text:Find four vectors v1, v2, V3, v4 in R* such that 1. no two are collinear (in particular, none of the vectors is zero) 2. the set {v1, v2, V3, V4} is linearly dependent, and 3. v4 is not in Span{v1, v2, v3}. 1 1 1 1 1 1 V3 = V4 = 1 1 9
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