6. Let V = R? and let S be the set of vectors {[:] S = {v1,V2, V3} -3 Is S is linearly independent? Explain why or why not. Does S span R?? Explain why or why not. Is Sa basis for R2? Explain why or why not. a. b.
6. Let V = R? and let S be the set of vectors {[:] S = {v1,V2, V3} -3 Is S is linearly independent? Explain why or why not. Does S span R?? Explain why or why not. Is Sa basis for R2? Explain why or why not. a. b.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![6. Let V = R² and let S be the set of vectors
{[: I:}
1
1
|
S = {v1,V2,V3} =
-3
-1
|
Is S is linearly independent? Explain why or why not.
Does S span R2? Explain why or why not.
Is Sa basis for R2? Explain why or why not.
a.
b.
С.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F690bc708-737a-4036-8bde-cd8ee17ec8dd%2F01384b9f-2679-43d8-a0ae-30ddeb995a81%2F3bx8wdd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6. Let V = R² and let S be the set of vectors
{[: I:}
1
1
|
S = {v1,V2,V3} =
-3
-1
|
Is S is linearly independent? Explain why or why not.
Does S span R2? Explain why or why not.
Is Sa basis for R2? Explain why or why not.
a.
b.
С.
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