Let V={f(x) = R[x] | ƒ(1) = 0, ƒ'(2) = 0}. Here the prime denotes differentiation. Is V a vector space? If so, what is its dimension? Select one: O Yes, and it has dimension 2 O Yes, but it does not have a finite dimension O None of the others apply O Yes, and it has dimension 3 No, it is not a vector space
Let V={f(x) = R[x] | ƒ(1) = 0, ƒ'(2) = 0}. Here the prime denotes differentiation. Is V a vector space? If so, what is its dimension? Select one: O Yes, and it has dimension 2 O Yes, but it does not have a finite dimension O None of the others apply O Yes, and it has dimension 3 No, it is not a vector space
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Let V={f(x) = R[x] | ƒ(1) = 0, ƒ' (2) = 0}. Here the prime denotes differentiation.
Is V a vector space?
If so, what is its dimension?
Select one:
O Yes, and it has dimension 2
O Yes, but it does not have a finite dimension
None of the others apply
O Yes, and it has dimension 3
O No, it is not a vector space](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0de9773e-39c1-4df6-a7d6-864501c7f552%2F2db09035-afc3-46a1-aa45-f61872a2c88b%2Ftui97gy_processed.png&w=3840&q=75)
Transcribed Image Text:Let V={f(x) = R[x] | ƒ(1) = 0, ƒ' (2) = 0}. Here the prime denotes differentiation.
Is V a vector space?
If so, what is its dimension?
Select one:
O Yes, and it has dimension 2
O Yes, but it does not have a finite dimension
None of the others apply
O Yes, and it has dimension 3
O No, it is not a vector space
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