Question: Suppose that U, V, W are finitely generated vector spaces, with TE C(U, V) and SEC(V, W). a) Show that nl(ST) 2 nl(T). b) Show

Suppose that U, V, W are finitely generated
Suppose that U, V, W are finitely generated vector spaces, with TE C(U, V) and SEC(V, W). a) Show that nl(ST) 2 nl(T). b) Show that rk(ST) nl(S) + dim(U) - dim(V)

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