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 =
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), (1, 4, 5, 6)}
(0, 0, 0, 0) =
S2.
Express the vector s3 in the set as a linear combination of the vectors S₁ and
S3 =
Transcribed Image Text:Determine whether the set S is linearly independent or linearly dependent.
S = {(1, 6, 2), (3, 2, -1)}
linearly independent
O linearly dependent
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