Determine whether the set S spans R2. If the set does not span R2, then give a geometric description of the subspace that it does span. S = {(1, 1), (-1, 2)} OS spans R². O S does not span R2. S spans a line in R². O S does not span R². S spans a point in R².

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.CR: Review Exercises
Problem 78CR: Let v1, v2, and v3 be three linearly independent vectors in a vector space V. Is the set...
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Determine whether the set S spans R². If the set does not span R2, then give a geometric description of the subspace that it does span.
S = {(1, 1), (−1, 2)}
S spans R².
S does not span R². S spans a line in R².
O S does not span R². S spans a point in R².
Transcribed Image Text:Determine whether the set S spans R². If the set does not span R2, then give a geometric description of the subspace that it does span. S = {(1, 1), (−1, 2)} S spans R². S does not span R². S spans a line in R². O S does not span R². S spans a point in R².
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