
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
Find \( A^{-1} \) if

\[ 
A = \begin{pmatrix}
3 & -1 & 3 \\
2 & -1 & 4 \\
1 & 2 & -3
\end{pmatrix}
\]

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