ermine whether the sets S₁ and S₂ span the same subspace of R³. S₁ = {(4, 3, 4), (0, 4, 4), (8, 10, -4)} S₂= {(-8, -14, 0), (4,-1,-8)} OS₁ and S₂ span the same subspace of R³. OS₁ and S₂ do not span the same subspace of R³.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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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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Determine whether the sets S₁ and S₂ span the same subspace of R³.
S₁ = {(4, 3, 4), (0, 4, 4), (8, 10, -4)}
S₂ (-8, -14, 0), (4,-1,-8)}
O S₁ and S₂ span the same subspace of R³.
O S₁ and S₂ do not span the same subspace of R³.
Transcribed Image Text:Determine whether the sets S₁ and S₂ span the same subspace of R³. S₁ = {(4, 3, 4), (0, 4, 4), (8, 10, -4)} S₂ (-8, -14, 0), (4,-1,-8)} O S₁ and S₂ span the same subspace of R³. O S₁ and S₂ do not span the same subspace of R³.
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