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 . -2 = -4 5 1 a) = 2 -2 < Select an answer > 1 b) = -3 3 V= -9 -5 W = 1 2 -5 3 W-8

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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 u, v, and w.
-2
-4
a) u =
1
2
-2
1
b) u = -3
-2
=
< Select an answer >
V
5
3
-9
-5
< Select an answer >
w =
w =
1
2
-5
3
8
-7
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 u, v, and w. -2 -4 a) u = 1 2 -2 1 b) u = -3 -2 = < Select an answer > V 5 3 -9 -5 < Select an answer > w = w = 1 2 -5 3 8 -7
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