Question: (10 points) Let U, V, W be vector spaces, and S : U - V and T : V - W linear maps. Show that

(10 points) Let U, V, W be vector spaces, and S

(10 points) Let U, V, W be vector spaces, and S : U - V and T : V - W linear maps. Show that ker(To S) = ker(S) if and only if Im(S) n ker(T) = {0}

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