Suppose U is a subspace of V with U V. Suppose S 2 L.U; W / andS 0 (which means that Su

Chapter 3, Problem 10

(choose chapter or problem)

Suppose U is a subspace of V with U V. Suppose S 2 L.U; W / andS 0 (which means that Su 0 for some u 2 U). Define T W V ! WbyT v D(Sv if v 2 U;0 if v 2 V and v U:Prove that T is not a linear map on V.

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