| 21. | If the rotation matrix is time dependent, then it does not commute with the time derivative.
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| 22. | Holds, allowing the rotation matrix to be defined completely in terms of the relative velocities and.
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| 23. | For a stable method of converting an orthogonal matrix to a quaternion, see Rotation matrix # Quaternion.
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| 24. | Every rotation matrix must have this eigenvalue, the other two eigenvalues being complex conjugates of each other.
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| 25. | Every rotation matrix is produced by a countable infinity of angles, separated by integer multiples of 2?.
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| 26. | The algorithm only computes the rotation matrix, but it also requires the computation of a translation vector.
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| 27. | Thus a 6-fold rotation matrix in the equilateral triangle basis is an integer matrix with order 6.
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| 28. | M has Euclidean norm as a 16D vector if and only if A is indeed a 4D rotation matrix.
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| 29. | If need be you could find that matrix by taking the general formula for a 3D rotation matrix and solving
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| 30. | Other conventions ( e . g ., rotation matrix or quaternions ) are used to avoid this problem.
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