Question: Let V and W be vector spaces. If X is a , subset of V, define X = [T in L(V, W) | T(v) =

Let V and W be vector spaces. If X is a , subset of V, define
X° = [T in L(V, W) | T(v) = 0 for all v in X)
(a) Show that X° is a subspace of L(F, IV).
♦ (b) If Xcxu show diat X°.
(c) If U and U\ are subspaces of V, show that (U+ Ul)°=U°n l/f.

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