# A Find JCF of this 5x5 matrix

#### TMO

To see the steps I have completed so far, https://math.stackexchange.com/q/3168898/261956

I think there are at least three more steps. The next step is finding the eigenvectors together with the generalized eigenvectors of each eigenvalue. Then we use this to construct the transition matrix. Then we do matrix multiplication in order to

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#### fresh_42

Mentor
2018 Award
If you already have the eigenvalues of
 \begin{pmatrix}177& 548& 271& -548& -356\\ 19& 63& 14& -79& -23\\ 8& 24& 17& -20& -20\\ 42& 132& 55& -141& -76\\ 56& 176& 80& -184& -105\end{pmatrix}

\begin{array}{c|c|c}
\lambda & \operatorname{am}_C(\lambda) & \operatorname{gm}_C(\lambda) \\ \hline
3 & 4 & 2 \\
-1 & 1 & 1
\end{array}
the Jordan normal form $\begin{pmatrix}3&1&0&0&0\\0&3&0&0&0\\0&0&3&1&0\\0&0&0&3&0\\0&0&0&0&-1\end{pmatrix}$

Given the informations are correct, what do you want to know?

"Find JCF of this 5x5 matrix"

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