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For each of the following sets of vectors, determine whether it is linearly independent or linearly dependent. If it is dependent, give a non-trivial linear combination of the vectors yielding the zero vector. Give your combination as an expression using u, v, and w for the vector variables i, 7, and w. -4 2 a) = 2 -2 V=-3 7 2 b) = 3 3 6 V = 9 9 W = w=8 2 1 -4

For each of the following sets of vectors, determine whether it is linearly independent or linearly dependent. If it is dependent, give a non-trivial linear combination of the vectors yielding the zero vector. Give your combination as an expression using u, v, and w for the vector variables i, 7, and w. -4 2 a) = 2 -2 V=-3 7 2 b) = 3 3 6 V = 9 9 W = w=8 2 1 -4

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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For each of the following sets of vectors, determine whether it is linearly independent or linearly dependent. If it is dependent, give a non-trivial linear combination of the vectors yielding the zero vector. Give your combination as an expression using u, v, and w for the vector variables , , and w. -4 2 -3 7 2 a) = 2 u -2 V= 2 b) u = 3 3 < Select an answer > V= = = 9 W 9 < Select an answer > W = =
Transcribed Image Text:For each of the following sets of vectors, determine whether it is linearly independent or linearly dependent. If it is dependent, give a non-trivial linear combination of the vectors yielding the zero vector. Give your combination as an expression using u, v, and w for the vector variables , , and w. -4 2 -3 7 2 a) = 2 u -2 V= 2 b) u = 3 3 < Select an answer > V= = = 9 W 9 < Select an answer > W = =
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