Exercise 8.D.2

Question

Find the characteristic polynomial and the minimal polynomial of the
operator $N$ in Example 8.54.

Célio Passos · Accepted Answer

\begin{proof}
Similarly, the characteristic polynomial is $z^6$ and a quick computation shows that the matrix of $N$ equals $0$ when raised to the third power, hence the minimal polynomial of $N$ is $z^3$.
\end{proof}

Exercise 8.D.2

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Exercise 8.D.2

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