Mathematics, 07.10.2019 18:00, tiffanydowell13

Let v be a vector space over the field f . let x be a non-empty subset of v with the property that the set y = { x1 − x2 | xi ∈ x } is closed under addition and scalar multiplication by elements of f . show that this is equivalent to x being a coset of some subspace of v . what is y in terms of this description?

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Let v be a vector space over the field f . let x be a non-empty subset of v with the property that t...