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**Homework Statement**

Suppose

*V*is a vector space with operations

**+**and

*****(under the usual operations) and

*W = {w*is a subset of

_{1}, w_{2}, ... , w_{n}}*V*with n vectors. Show Span{W} is a subspace of

*V*.

**The attempt at a solution**

I know that to show a set is a subspace, we need to show closure under addition and multiplication. I don't where to go from there. Any suggestions?