3) Suppose U is a subspace of V with U + V. Suppose Se L(U,W) and S # 0 (so S is not the zero element of L(U, W), which means Su + 0 for some u e U,where 0 is the zero vector of W). Define T:U - W by (Sv if v e U lo ifveV and v E U. Tv = Prove that T is not a linear map on V.

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