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

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

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 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, 1, O), v3 = (2, 1, O), v4 = (0, -2, 0) V1 and v2 form a basis for span {v1, v2, V3, V4). V1 and v3 form a basis for span {v1, v2, V3, V4}. v2 and v4 form a basis for span {v1, V2, V3, Va}. V1 and v4 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). O All of the above are correct.
Transcribed Image Text:Find a basis for the subspace of R that is spanned by the vectors V1 = (1, 0, 0), v2 = (1, 1, O), v3 = (2, 1, O), v4 = (0, -2, 0) V1 and v2 form a basis for span {v1, v2, V3, V4). V1 and v3 form a basis for span {v1, v2, V3, V4}. v2 and v4 form a basis for span {v1, V2, V3, Va}. V1 and v4 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). O All of the above are correct.
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