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Let S = V₁ = {V₁, V2, V3, V4, V5} where, ) 22 = , V3 = ₂V4 = V5 = 22 2 Find a basis for the space span(S) which is a subset of S. Then express each vector that is not in the basis as a linear combination of the basis vectors.

Let S = V₁ = {V₁, V2, V3, V4, V5} where, ) 22 = , V3 = ₂V4 = V5 = 22 2 Find a basis for the space span(S) which is a subset of S. Then express each vector that is not in the basis as a linear combination of the basis vectors.

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
Section4.5: Basis And Dimension
Problem 66E
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Let S {v1, V2, V3, V4, v5} where, 'a 2 V2 = V3 = ta V5 -2- Find a basis for the space span(S) which is a subset of S. Then express each vector that is not in the basis as a linear combination of the basis vectors.
Transcribed Image Text:Let S {v1, V2, V3, V4, v5} where, 'a 2 V2 = V3 = ta V5 -2- Find a basis for the space span(S) which is a subset of S. Then express each vector that is not in the basis as a linear combination of the basis vectors.
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