-(:) --(:) --(1) --(3) 2 v2 = V3 = V4 = - 7 how that these vectors are linearly dependent. ind a maximal linearly independent subset of {v1, v2, V3, V4}.

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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1. Let v1, v2, V3, V4 E R³ be as defined below.
-() --(:) -() --()
2
1
1
4
V2
V3
2
V4
3
a) Show that these vectors are linearly dependent.
b) Find a maximal linearly independent subset of {v1, v2, v3, V4}.
Transcribed Image Text:1. Let v1, v2, V3, V4 E R³ be as defined below. -() --(:) -() --() 2 1 1 4 V2 V3 2 V4 3 a) Show that these vectors are linearly dependent. b) Find a maximal linearly independent subset of {v1, v2, v3, V4}.
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