Determine the matrix MMM that performs a reflection across the line y=(tan30∘)xy = (\tan 30^\circ)xy=(tan30∘)x.
(0.50.8660.866−0.5)\begin{pmatrix} 0.5 & 0.866 \\ 0.866 & -0.5 \end{pmatrix}(0.50.8660.866−0.5)
(0.8660.50.5−0.866)\begin{pmatrix} 0.866 & 0.5 \\ 0.5 & -0.866 \end{pmatrix}(0.8660.50.5−0.866)
(−0.50.8660.8660.5)\begin{pmatrix} -0.5 & 0.866 \\ 0.866 & 0.5 \end{pmatrix}(−0.50.8660.8660.5)
(0.5−0.866−0.866−0.5)\begin{pmatrix} 0.5 & -0.866 \\ -0.866 & -0.5 \end{pmatrix}(0.5−0.866−0.866−0.5)