Show Showing Linear Dependence that the set is linearly dependent by finding a nontrivial linear combination of vectors in the set whose sum is the zero vector. Then express one of the vectors in the set as a linear combination of the other vectors in the set. a. S = {(3, 4), (-1, 1), (2, 0)} b). s = {(1, 1, 1), (1, 1, 0), (0, 1, 1), (0, 0, 1)}

Show Showing Linear Dependence that the set is linearly dependent by finding a nontrivial linear combination of vectors in the set whose sum is the zero vector. Then express one of the vectors in the set as a linear combination of the other vectors in the set. a. S = {(3, 4), (-1, 1), (2, 0)} b). s = {(1, 1, 1), (1, 1, 0), (0, 1, 1), (0, 0, 1)}

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 70E: Proof When the set of vectors {u1,u2,...,un} is linearly independent and the set {u1,u2,...,un,v} is...

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