Explain why S is not a basis for R².S = {(-4, 3)}O sis linearly dependent.O s does not span R2.O sis linearly dependent and does not span R2. Determine whether the sets S, and S2 span the same subspace of R³.S1 = {(1, 2, -1), (0, 1, 1), (2, 5, -1)}S2 = {(-2, -6, 0), (1, 1, -2)}O s, and S2 span the same subspace of R3.O s, and S2 do not span the same subspace of R3.

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Answered: Explain why S is not a basis for R². S…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.3: Subspaces Of Vector Spaces

Problem 56E: Give an example showing that the union of two subspaces of a vector space V is not necessarily a...

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Explain why S is not a basis for R². S = {(-4, 3)} O sis linearly dependent. O s does not span R2. O sis linearly dependent and does not span R2.