Unformatted text preview: V . Since both U and V are subspaces, x + y ∈ U and x + y ∈ V . So x + y ∈ U ∩ V . U ∩ V is closed under addition. By the deﬁnition, U ∩ V is a subspace of W . 1...
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 Spring '08
 samiabdul
 Linear Algebra, Algebra, Multiplication, Scalar, Vector Space, Topological space, Closed set, scalar mutiplication

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