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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 = (3, 0, 1), v4 = (0,0, -1) v1 and v2 form a basis for span {v1, v2, V3, Val. V1 and v3 form a basis for span {v1, V2, V3, Va). v2 and v4 form a basis for span {v1, v2, V3, V4). V1 and v4 form a basis for span {v1, v2, v3. Va). v2 and v3 form a basis for span (v1, v2, V3, Vaj. 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, 0, 1), v3 = (3, 0, 1), v4 = (0,0, -1) v1 and v2 form a basis for span {v1, v2, V3, Val. V1 and v3 form a basis for span {v1, V2, V3, Va). v2 and v4 form a basis for span {v1, v2, V3, V4). V1 and v4 form a basis for span {v1, v2, v3. Va). v2 and v3 form a basis for span (v1, v2, V3, Vaj. 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, 0, 1), v3 = (3, 0, 1), v4 = (0,0, -1) v1 and v2 form a basis for span {v1, v2, V3., Va). O vy and v3 form a basis for span {v1, V2, V3, Va). v2 and v4 form a basis for span {v1, v2, V3, V4). V1 and v4 form a basis for span {v1, v2, v3. Va). v2 and v3 form a basis for span (v1, v2, V3, Vaj. 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, 0, 1), v3 = (3, 0, 1), v4 = (0,0, -1) v1 and v2 form a basis for span {v1, v2, V3., Va). O vy and v3 form a basis for span {v1, V2, V3, Va). v2 and v4 form a basis for span {v1, v2, V3, V4). V1 and v4 form a basis for span {v1, v2, v3. Va). v2 and v3 form a basis for span (v1, v2, V3, Vaj. v3 and v4 form a basis for span {v1, v2, V3, V4). O All of the above are correct.
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