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torquerotates
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Homework Statement
Prove that the subspace of a finite dimensional vector space is finite dimensionalHomework Equations
dim(V)=#basis vectorsThe Attempt at a Solution
I was thinking about making a summation of the basis vectors in the vector space and the subtracting the summation of the basis vectors in the subspace. That way I get a finite# of basis vectors left over. But that thinking turned out to be flawed because I'm assuming that the #of basis vectors in the subspace is finite(what I'm trying to prove). So I'm back to square 1.