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 = {(3, 4), (-1, 1), (4, 0)) (0, 0) () Express the vector s₁ in the set as a linear combination of the vectors s2 and $3. $1
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 = {(3, 4), (-1, 1), (4, 0)) (0, 0) () Express the vector s₁ in the set as a linear combination of the vectors s2 and $3. $1
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 = {(3, 4), (-1, 1), (4, 0))
(0, 0) = ()
Express the vector s₁ in the set as a linear combination of the vectors s₂ and $3.
S₁ =
4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3e1fa912-5e0c-4d6e-bcb6-bc3942e62084%2Fcb986428-7b12-4965-b8a6-24a6bb7f6e1e%2Ftdbx519_processed.jpeg&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 = {(3, 4), (-1, 1), (4, 0))
(0, 0) = ()
Express the vector s₁ in the set as a linear combination of the vectors s₂ and $3.
S₁ =
4
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