Suppose V is finite-dimensional. Prove that every linear map on asubspace of V can be

Chapter 3, Problem 11

(choose chapter or problem)

Suppose V is finite-dimensional. Prove that every linear map on asubspace of V can be extended to a linear map on V. In other words,show that if U is a subspace of V and S 2 L.U; W /, then there existsT 2 L.V; W / such that T u D Su for all u 2 U.

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