Slow that the set is linearly dependent by finding a nontrivial linear combination of vecters in the set whose sum is the zero vector (Use s, , ahd sy respectively, for the vece S- ((1, 2, 3, 4), (1, 0, 1, 2), (3, 8, 11, 14)) (0, 0, 0, 0)= Express thie vector sy in the set as a linear combination of the vectors and s

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
Problem 21EQ
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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 , and s 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 s
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 , and s 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 s
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