If V is the real vector space of all mapping from R to R.V1 = {f ∈ V: f(-x) = f(x)} and V2 = {f ∈ V: f(-x) = -f(x)}, then which one of the following is correct.

Question

TuteeHUB · Accepted Answer

V1 is not a subspace of V, but V2 is a subspace of V

TuteeHUB · Answer

Neither V1 nor V2 are subspaces of V

TuteeHUB · Answer

V1 is a subspace of V, but V2 is not a subspace of V

TuteeHUB · Answer

both V1 and V2 are subspaces of V

1.	If V is the real vector space of all mapping from R to R.V1 = {f ∈ V: f(-x) = f(x)} and V2 = {f ∈ V: f(-x) = -f(x)}, then which one of the following is correct.
A.	Neither V1 nor V2 are subspaces of V
B.	V1 is a subspace of V, but V2 is not a subspace of V
C.	both V1 and V2 are subspaces of V
D.	V1 is not a subspace of V, but V2 is a subspace of V
Answer» D. V1 is not a subspace of V, but V2 is a subspace of V

If V is the real vector space of all mapping from R to R.V1 = {f ∈ V: f(-x) = f(x)} and V2 = {f ∈ V: f(-x) = -f(x)}, then which one of the following is correct.

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