DUE NOW. PLEASE CHOOSE THE ANSWERS. THANKS! Show that the set is linearly dependent by finding a nontrivial linear combination of vectors in the set whose sum is the zero vector. (Use S₁, S2, and s3, respectively, for the vectors in the set.)S = {(1, 2, 3, 4), (1, 0, 1, 2), (1, 4, 5, 6)}(0, 0, 0, 0) =S2.Express the vector s3 in the set as a linear combination of the vectors S₁ andS3 = Determine whether the set S is linearly independent or linearly dependent.S = {(1, 6, 2), (3, 2, -1)}linearly independentO linearly dependent

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Show that the set is linearly dependent by finding a nontrivial linear combination of vectors in the set whose sum is the zero vector. (Use S₁, S2, and $3, respectively, for the vectors in the set.) S = {(1, 2, 3, 4), (1, 0, 1, 2), (1, 4, 5, 6)} (0, 0, 0, 0) = Express the vector s3 in the set as a linear combination of the vectors s₁ and $2. S3 =

Show that the set is linearly dependent by finding a nontrivial linear combination of vectors in the set whose sum is the zero vector. (Use S₁, S2, and $3, respectively, for the vectors in the set.) S = {(1, 2, 3, 4), (1, 0, 1, 2), (1, 4, 5, 6)} (0, 0, 0, 0) = Express the vector s3 in the set as a linear combination of the vectors s₁ and $2. S3 =

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 60E

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