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 sz. 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), (1, 4, 5, 6)} (0, 0, 0, 0) = Express the vector s3 in the set as a linear combination of the vectors s, and sz. 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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![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) =
%3D
Express the vector s3 in the set as a linear combination of the vectors
S1
and
S2.
S3 =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe2920862-4524-4e89-8fe4-f22d5c85b8fa%2Fbe64ef59-8e8a-4dc7-bd5d-0a04a409c2b3%2Fy7zqsss_processed.png&w=3840&q=75)
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) =
%3D
Express the vector s3 in the set as a linear combination of the vectors
S1
and
S2.
S3 =
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