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Find a subset of the vectors that forms a basis for the space spanned by the vectors; then express each vector that is not in the basis as a linear combination of the basis vectors. v1 = (1,0, 1, 1), v2= (- 3, 3, 7, 1), v3= (– 1, 3, 9, 3), v4= (-5, 3, 5, – 1)

Find a subset of the vectors that forms a basis for the space spanned by the vectors; then express each vector that is not in the basis as a linear combination of the basis vectors. v1 = (1,0, 1, 1), v2= (- 3, 3, 7, 1), v3= (– 1, 3, 9, 3), v4= (-5, 3, 5, – 1)

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 12CM
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Find a subset of the vectors that forms a basis for the space spanned by the vectors; then express each vector that is not in the basis as a linear combination of the basis vectors. v1 = (1,0, 1, 1), v2= (- 3, 3, 7, 1), v3= (– 1, 3, 9, 3), v4= (-5, 3, 5, – 1)
Transcribed Image Text:Find a subset of the vectors that forms a basis for the space spanned by the vectors; then express each vector that is not in the basis as a linear combination of the basis vectors. v1 = (1,0, 1, 1), v2= (- 3, 3, 7, 1), v3= (– 1, 3, 9, 3), v4= (-5, 3, 5, – 1)
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