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

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Chapter2: Second-order Linear Odes
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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
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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