Determine whether the sets S, and S, span the same subspace of R³. S, = {(0, 0, 1), (0, 1, 1), (9, 1, 1)} S, = {(1, 1, 1), (1, 1, 4), (4, 1, 1)} Os, and S, span the same subspace of R3. O s, and S, do not span the same subspace of R³.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.4: Spanning Sets And Linear Independence
Problem 24E: Spanning Sets In Exercise 19-24, determine whether the set Sspans R3. If the set does not span R3,...
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Determine whether the sets S, and S, span the same subspace of R.
s, = {(0, 0, 1), (0, 1, 1), (9, 1, 1)}
S, = {(1, 1, 1), (1, 1, 4), (4, 1, 1)}
and S, span the same subspace of R3.
O S1
S, and S, do not span the same subspace of R3.
1
Transcribed Image Text:Determine whether the sets S, and S, span the same subspace of R. s, = {(0, 0, 1), (0, 1, 1), (9, 1, 1)} S, = {(1, 1, 1), (1, 1, 4), (4, 1, 1)} and S, span the same subspace of R3. O S1 S, and S, do not span the same subspace of R3. 1
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