Jordan canonical form of a matrix (2)

Let $A = [\begin{matrix} - 2 & 1 & - 1 \\ 5 & - 2 & 2 \\ 7 & - 3 & 3 \end{matrix}]$ .

Find the characteristic polynomial and the minimal polynomial of $A$ .
Find the Jordan canonical form of the matrix $A$ .

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L A T E X

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Let $A=\begin{bmatrix} -2 & 1 & -1 \\ 5 & -2 & 2 \\ 7 & -3 & 3\end{bmatrix}$.

\medskip
\begin{enumerate}[label=(\alph*)]
	\item Find the characteristic polynomial and the minimal polynomial of $A$.
	\item Find the Jordan canonical form of the matrix $A$.
\end{enumerate}

Important note

Sometime after this exam was given, the exam syllabus was updated and the topic of Jordan canonical forms was removed. As such, this problem does not appear in the problem bank.