
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 \(\mathbf{B}\) be a matrix such that
\[
\mathbf{B} \begin{pmatrix} 4 \\ -1 \end{pmatrix} = \begin{pmatrix} 12 \\ -3 \end{pmatrix}.
\]
Find \(\mathbf{B}^4 \begin{pmatrix} 4 \\ -1 \end{pmatrix}\).

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