Find the matrix that corresponds to rotating about the origin by an angle of $45^\circ$ clockwise.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find the matrix that corresponds to rotating about the origin by an angle of $45^\circ$ clockwise.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\begin{pmatrix} 1/\sqrt{2} & 1/\sqrt{2} \\ -1/\sqrt{2} & 1/\sqrt{2} \end{pmatrix}
Find the matrix that corresponds to rotating about the origin by an angle of $45^\circ$ clockwise.
train