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 s,, Sa, and s,, respectively, for the vectors in the set.)S = {(5, 2), (-1, 1), (4, 0)}4(0, 0) = | S1-두s2 + 두3Express the vector s, in the set as a linear combination of the vectors s, and s,.S, =

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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 s,, S,, and sa, respectively, for the vectors in the set.) S = {(5, 2), (-1, 1), (4, 0)} (0, 0) = $1- 5,+ s3 Express the vector s, in the set as a linear combination of the vectors s, and s3. S1 =

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 s,, S,, and sa, respectively, for the vectors in the set.) S = {(5, 2), (-1, 1), (4, 0)} (0, 0) = $1- 5,+ s3 Express the vector s, in the set as a linear combination of the vectors s, and s3. S1 =

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 s,, Sa, and s,, respectively, for the vectors in the set.)
S = {(5, 2), (-1, 1), (4, 0)}
4
(0, 0) = | S1-두s2 + 두3
Express the vector s, in the set as a linear combination of the vectors s, and s,.
S, =

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