#Coset Theorem- Let W be a subspace of a vector space V(F). u, u'∈ V . Then u+W=u'+W iff u-u' ∈ W

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#LinearAlgebra
Theorem:Let W be a subspace of a vector space V(F). u,u'∈ V . Then u+W=u'+W iff u-u' ∈ W