
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Let matrix $M= \begin{bmatrix} 1 & 2 \\ x & y\end{bmatrix}$, and $N= \begin{bmatrix} 2 & 4 \\ -1 & -1\end{bmatrix}$. If $MN= \begin{bmatrix} 0 & 2 \\ 5 & 13\end{bmatrix}$, find the eigenvalues of matrix $M$.

Present the answer in LaTex format: \boxed{Your answer}
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