Question: Consider the matrix [A=left(begin{array}{ccc} -0.8124 & -0.5536 & -0.1830 -0.3000 & 0. 6660 & -0.6830 0. 5000 & -0.5000 & -0.7071 end{array} ight)]

Consider the matrix

\[A=\left(\begin{array}{ccc} -0.8124 & -0.5536 & -0.1830 \\ -0.3000 & 0. 6660 & -0.6830 \\ 0. 5000 & -0.5000 & -0.7071 \end{array}\right)\]

This matrix represents the active rotation through three Euler angles. Determine the possible angles of rotation leading to this matrix.

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