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), (3, 8, 11, 14)} (0, 0, 0, 0) = Express the vector s3 in the set as a linear combination of the vectors s, and s2. S3

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
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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), (3, 8, 11, 14)}
(0, 0, 0, 0) =
Express the vector s3 in the set as a linear combination of the vectors s and sɔ.
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), (3, 8, 11, 14)} (0, 0, 0, 0) = Express the vector s3 in the set as a linear combination of the vectors s and sɔ. S3 =
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