Consider the following vectors: 2 -4 -4 a =|-1 b = 2 C = 2 3 -6 -5 For each of the following vectors, determine whether it can be written as a linear combination of these vectors. If so, give the linear combination using the vector names above V1 = -2 < Select an answer > < Select an answer > v1 is not a linear combination v, is a linear combination: 5 2 V2 =-1 3 V3 = 9 < Select an answer > 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
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Question
Consider the following vectors:
2
-4
-4
-1
b = 2
a =
с —
3
-6
-5
For each of the following vectors, determine whether it can be written as a linear combination of these vectors. If so, give the linear combination using the vector names above.
4
V1 =
-2
< Select an answer
< Select an answer >
V1
is not a linear combination
2
V2 =|-1
V1
is a linear combination:
3
2
V3
9.
< Select an answer
8.
Transcribed Image Text:Consider the following vectors: 2 -4 -4 -1 b = 2 a = с — 3 -6 -5 For each of the following vectors, determine whether it can be written as a linear combination of these vectors. If so, give the linear combination using the vector names above. 4 V1 = -2 < Select an answer < Select an answer > V1 is not a linear combination 2 V2 =|-1 V1 is a linear combination: 3 2 V3 9. < Select an answer 8.
Expert Solution
Step 1

The vectors are given as ,

a=2-13 , b=-42-6 , c=-42-5

Determine the linear combination of vectors.

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