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 =
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 =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 s2.
53 =
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