Find a basis for the subspace of R° that is spanned by the vectors V1 = (1, 0, 0), v2 = (1, 0, 1), v3 = (5, 0, 1), v4 = (0, 0, -2) V2 and v4 form a basis for span {v1, V2, V3, V4}. V1 and v4 form a basis for span {v1, V2, V3, V4}. V1 and v3 form a basis for span{v1, V2, V3, V4}. V1 and v2 form a basis for span {v1, V2, V3, V4}. V2 and v3 form a basis for span {v1, V2, V3, V4}. V3 and v4 form a basis for span {v1, V2, V3, V4}.

Elementary Linear Algebra (MindTap Course List)
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Author:Ron Larson
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Chapter4: Vector Spaces
Section4.5: Basis And Dimension
Problem 65E: Find a basis for the vector space of all 33 diagonal matrices. What is the dimension of this vector...
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Find a basis for the subspace of R° that is
spanned by the vectors
V1 = (1, 0, 0), v2 = (1, 0, 1), v3 = (5, 0, 1), v4 = (0,
0, -2)
V2 and v4 form a basis for span {v1,
V2, V3, V4}.
V1 and v4 form a basis for span {v1,
V2, V3, V4}.
V1 and v3 form a basis for span {v1,
V2, V3, V4}.
Ov1 and v2 form a basis for span {v1,
V2, V3, V4}.
V2 and v3 form a basis for span {v1,
V2, V3, V4}.
V3 and v4 form a basis for span {v1,
V2, V3, V4}.
Transcribed Image Text:Find a basis for the subspace of R° that is spanned by the vectors V1 = (1, 0, 0), v2 = (1, 0, 1), v3 = (5, 0, 1), v4 = (0, 0, -2) V2 and v4 form a basis for span {v1, V2, V3, V4}. V1 and v4 form a basis for span {v1, V2, V3, V4}. V1 and v3 form a basis for span {v1, V2, V3, V4}. Ov1 and v2 form a basis for span {v1, V2, V3, V4}. V2 and v3 form a basis for span {v1, V2, V3, V4}. V3 and v4 form a basis for span {v1, V2, V3, V4}.
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