Question: Lemma 2.1 shows that any for any linear transformation t: V V the restriction t: R(t) R(t) is one-to-one. Show that it is also

Lemma 2.1 shows that any for any linear transformation t: V → V the restriction t: R∞(t) →R∞(t) is one-to-one. Show that it is also onto, so it is an automorphism. Must it be the identity map?

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