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Consider the set S = {(1,0), (0, 1), (3,4)}. a) S is not a basis for R2 because it is not a spanning set. b) S is not a basis for R2 because it is not linearly independent. c) S is a basis for R².

Consider the set S = {(1,0), (0, 1), (3,4)}. a) S is not a basis for R2 because it is not a spanning set. b) S is not a basis for R2 because it is not linearly independent. c) S is a basis for R².

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.5: Basis And Dimension
Problem 69E: Find a basis for R2 that includes the vector (2,2).
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Consider the set S = {(1,0), (0, 1), (3,4)}. a) S is not a basis for R2 because it is not a spanning set. b) S is not a basis for R2 because it is not linearly independent. c) S is a basis for R².
Transcribed Image Text:Consider the set S = {(1,0), (0, 1), (3,4)}. a) S is not a basis for R2 because it is not a spanning set. b) S is not a basis for R2 because it is not linearly independent. c) S is a basis for R².
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