(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

How do I show that the cp is p(x)=x^n, dimA=n?

2. Relevant equations

A^k=0 for some k (obviously need to show k=n); p(A)=0

3. The attempt at a solution

p(A)=0 <=> A^n + ... + det(A)=0

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# Characteristic polynomial for nilpotent matrix.

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