Exercise 8.D.1

Question

Find the characteristic polynomial and the minimal polynomial of the
operator N in Example 8.53.

Célio Passos · Accepted Answer

\begin{proof}
By Exercise 11 in section 8B the characteristic polynomial is $z^4$ and by 8.46 this is a polynomial multiple of the minimal polynomial. Since $N^3 
eq 0$, it follows that the minimal polynomial of $N$ is $z^4$.
\end{proof}

Exercise 8.D.1

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Exercise 8.D.1

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