The matrix
\[\begin{pmatrix} 3 & -1 \\ c & d \end{pmatrix}\]is its own inverse.  Enter the ordered pair $(c,d).$
Question:
The matrix
\[\begin{pmatrix} 3 & -1 \\ c & d \end{pmatrix}\]is its own inverse.  Enter the ordered pair $(c,d).$
Answer:
Let's think step by step.

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The matrix
\[\begin{pmatrix} 3 & -1 \\ c & d \end{pmatrix}\]is its own inverse.  Enter the ordered pair $(c,d).$
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