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) = Express the vector s3 in the set as a linear combination of the vectors s, and s2. S3 =

Elementary Linear Algebra (MindTap Course List)
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Author:Ron Larson
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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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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) =
Express the vector s3 in the set as a linear combination of the vectors s, and s2.
S3 =
Transcribed Image Text: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) = Express the vector s3 in the set as a linear combination of the vectors s, and s2. S3 =
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