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If W ⊆ V is a subspace of a vector space V over F, then for...

If W ⊆ V is a subspace of a vector space V over F, then for any v1, v2 ∈ V , we say v1 ∼ v2 if and only if v1 − v2 ∈ W. Check that ∼ is an equivalence relation on V .

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3 let ve v

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