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Determinantshard
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Consider the matrix A=(111cos⁡αcos⁡βcos⁡γcos⁡2αcos⁡2βcos⁡2γ)A = \begin{pmatrix} 1 & 1 & 1 \\ \cos\alpha & \cos\beta & \cos\gamma \\ \cos 2\alpha & \cos 2\beta & \cos 2\gamma \end{pmatrix}A=​1cosαcos2α​1cosβcos2β​1cosγcos2γ​​ Which of the following expressions is/are equivalent to det⁡(A)\det(A)det(A)?