Consider the vector space .

(a) Let

Prove true or show to be false: is a subspace of .

(b) Let

Prove true or show to be false: is a subspace of .

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- February 19th 2008, 02:14 PMArythSubspaces
Consider the vector space .

(a) Let

Prove true or show to be false: is a subspace of .

(b) Let

Prove true or show to be false: is a subspace of . - February 19th 2008, 06:59 PMAryth
I don't really know how to begin this problem. If someone could tell me how to start it I'm sure I'd be able to figure it out...

- February 19th 2008, 08:04 PMspoon737
Remember that a vector space must contain the zero vector. In

**F**, the zero vector is f(x)=0. Thus,**V**can't be a subspace since it doesn't contain the zero vector.