
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
Compute the product of the matrices:
\[
\begin{pmatrix} 2 & 0 & -1 \\ 0 & 3 & -2 \\ -2 & 3 & 2 \end{pmatrix} 
\begin{pmatrix} 1 & -1 & 0 \\ 2 & 0 & -4 \\ 3 & 0 & 0 \end{pmatrix}.
\]

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