V₁ = V1 V3 = V2= 4 [ 3 [-1] 2 3]

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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V1 =
[1]
V2=
2
4
V3 =
[]
3
There are scalars c₁ and c₂ so that
V3 = C1V1 + C₂V2.
TRUE
O FALSE
The vector v₁ can be written as a linear
combination of V2 and v3.
TRUE
FALSE
Transcribed Image Text:V1 = [1] V2= 2 4 V3 = [] 3 There are scalars c₁ and c₂ so that V3 = C1V1 + C₂V2. TRUE O FALSE The vector v₁ can be written as a linear combination of V2 and v3. TRUE FALSE
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