Question: (4) Let V and W be nite dimensional vector spaces. Let dim(V) = a, dim(W) = b. (a) Let 'U E V be a non-zero

(4) Let V and W be nite dimensional vector spaces. Let dim(V) = a, dim(W) = b. (a) Let 'U E V be a non-zero vector. Calculate the dimension of the subspace {T E H0m(V, W) :T(v) = 0} of Hom(V, W) in terms of a and b. (b) Let '01, '02, '03 be vectors in V. What are all possibilities for the dimension of the subspace {T E Hom(V, W) : T(v1) = 0,T(v2) = 0,T(v3) = 0} of Hom(V, W) in terms of a and b

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