Question: Let V be a finite-dimensional vector space and let S, T E C(V). a) Show that im(S + T) is a subspace of im(S) +

Let V be a finite-dimensional vector space and let S, T E C(V). a) Show that im(S + T) is a subspace of im(S) + im(T). b) Show that rank(S + T) null(S) + null(T) - dim(V)

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