Question: Let v 1 , . . . , vm be a list of vectors in V , and suppose that w 1 , . .

Let v1,..., vm be a list of vectors in V , and suppose that w1,..., wm is a list where
the wi are the same as the vj , but perhaps listed in a different order. Prove that
span(v1,..., vm)= span(w1,..., wm).

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