Question: Please show all work necessary Let V and W be vector spaces over F. Suppose T is a function from V to W. Show that

Please show all work necessary

Let V and W be vector spaces over F. Suppose T is a function from V to W. Show that the subset graph(T) c V x W defined by graph(T) = {(V, Tv) E V x W|VEV } is a subspace of V x W if and only if T is a linear map

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