
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 result of multiplying matrix \( A \) by matrix \( B \) and then multiplying the result by scalar \( c \):
\[ A = \begin{pmatrix} 2 & 0 & -3 \\ 0 & 3 & -1 \\ -1 & 3 & 2 \end{pmatrix}, \quad B = \begin{pmatrix} 1 & -1 & 0 \\ 2 & 1 & -2 \\ 3 & 0 & 1 \end{pmatrix}, \quad c = 2 \]

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