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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) : -2s1 + s2 + s3 Express the vector s3 in the set as a linear combination of the vectors s, and s2. S3 = 2s1 – s2

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) : -2s1 + s2 + s3 Express the vector s3 in the set as a linear combination of the vectors s, and s2. S3 = 2s1 – s2

Advanced Engineering Mathematics
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) : -2s1 + s2 + s3 Express the vector s3 in the set as a linear combination of the vectors s, and s2. S3 = 2s1 – s2
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) : -2s1 + s2 + s3 Express the vector s3 in the set as a linear combination of the vectors s, and s2. S3 = 2s1 – s2
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