
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
Given 
\[
\begin{vmatrix}
a & b & c \\
d & e & f \\
g & h & i
\end{vmatrix} = 2,
\] 
find 
\[
\begin{vmatrix}
3a & 3b & 3c \\
3d & 3e & 3f \\
3g & 3h & 3i
\end{vmatrix}.
\]

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