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
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 >](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd675b0dc-479b-4d0b-b4d4-9f074bc56bad%2Fa0a1f62b-2635-4642-b762-02492469e8dc%2F013duc6_processed.jpeg&w=3840&q=75)
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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