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 2 a) u = -1 V= 2 W= -4 5 -3 -2 8

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section: Chapter Questions
Problem 33CT
Question
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
2
a) u = -1
V= 2
W=
-4
5
-3
-2
8
<Select an answer
3
9
3
b) u= 3
v = 9
W=
6
-3
-9
-5
<Select an answer >
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 2 a) u = -1 V= 2 W= -4 5 -3 -2 8 <Select an answer 3 9 3 b) u= 3 v = 9 W= 6 -3 -9 -5 <Select an answer >
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