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If V is the real vector space of all map...

If V is the real vector space of all mapping from R to R `V_1={f siV/f(-x)=f(x)}` and `V_2={fsiV/f(-x) =-f(x)} then which one of the following is correct?

A

Neither `V_1` nor `V_2` is a subspace of V

B

`V_1` is a subspace of V but `V_2` is npt a subspace of V

C

`V_1` is not a subspace of V but `V_2` is a subspace of V

D

Both`V_1` and `V_2` are subspace of V

Text Solution

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The correct Answer is:
D
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