Question: We know that (V, W) is a vector space. Suppose that X is a subset of V (X may or may not be a subspace).

We know that (V, W) is a vector space. Suppose that X is a subset of V (X may or may not be a subspace). Let L! = {T E (V, W) : T(x) = 0, x E X}; so that U is the set of all linear maps from V to W that are zero on vectors of X. a) Show that L1 is a subspace of (V, W). b) Let M = (X), the subspace generated by X. Is it true that whenever T E M then T(x) = 0 for all x E M

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