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veege
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Homework Statement
Suppose V is a vector space with operations + and * (under the usual operations) and W = {w1, w2, ... , wn} is a subset of 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?
Suppose V is a vector space with operations + and * (under the usual operations) and W = {w1, w2, ... , wn} is a subset of 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?