Determine whether the sets S, and S2 span the same subspace of R. S, = {(2, 4, -2), (o, 2, 2), (4, 10, –2)} Sz = {(-4, –12, 0), (2, 2, –4)} O s, and S2 span the same subspace of R³. O s, and S2 do not span the same subspace of R.

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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Determine whether the sets S, and Sz span the same subspace of R3.
S1 = {(2, 4, -2), (0, 2, 2), (4, 10, –-2)}
S2 = {(-4, -12, 0), (2, 2, -4)}
%3D
O s, and S2 span the same subspace of R3.
O s, and S2 do not span the same subspace of R.
Transcribed Image Text:Determine whether the sets S, and Sz span the same subspace of R3. S1 = {(2, 4, -2), (0, 2, 2), (4, 10, –-2)} S2 = {(-4, -12, 0), (2, 2, -4)} %3D O s, and S2 span the same subspace of R3. O s, and S2 do not span the same subspace of R.
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