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Let N be a nilpotent mapping V and letγ:V→V be an isomorphism. 1.Show that N and...

Let N be a nilpotent mapping V and letγ:V→V be an isomorphism. 1.Show that N and γ◦N◦γ−1 have the same canonical form 2. If M is another nilpotent mapping of V such that N and M have the same canonical form, show that there is an isomorphism γ such that γ◦N◦γ−1=M

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