Let $\mathbf{R}$ be the matrix for reflecting over the vector $\begin{pmatrix} 1 \\ 5 \end{pmatrix}.$  Find $\det \mathbf{R}.$
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<|im_start|>user
Let $\mathbf{R}$ be the matrix for reflecting over the vector $\begin{pmatrix} 1 \\ 5 \end{pmatrix}.$  Find $\det \mathbf{R}.$
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<|im_start|>assistant

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Let $\mathbf{R}$ be the matrix for reflecting over the vector $\begin{pmatrix} 1 \\ 5 \end{pmatrix}.$  Find $\det \mathbf{R}.$
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