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QUESTION
let W be a subspace of a vector space V and suppose that the sets of cosets {v1+W,v2+W,.,vn+W} is linearly independent in the quotient space V/W....
let W be a subspace of a vector space V and suppose that the sets of cosets {v1+W,v2+W,.....,vn+W} is linearly independent in the quotient space V/W. Show that the set of vectors {v1,v2,...,vn} is linearly independent.
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