Compute
\[\begin{pmatrix} 3 & -4 \\ 1 & -1 \end{pmatrix}^{2016}.\]
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Compute
\[\begin{pmatrix} 3 & -4 \\ 1 & -1 \end{pmatrix}^{2016}.\]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\begin{pmatrix} 4033 & -8064 \\ 2016 & -4031 \end{pmatrix}
Compute
\[\begin{pmatrix} 3 & -4 \\ 1 & -1 \end{pmatrix}^{2016}.\]
train