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solutions for a rotation matrix?
So my question is: given a 3d rotation matrix R=3x3;
and i know that this R is a combination of 2 Rotation matrix in the axis of x and y, how many solution (angles of rotation in x and y) doest it have? im guessing 4... but i wanna be sure....
ty
Edit:
i know its complicated, that's why im asking i dont wanna i know the solution i just wanna know how many solutions from angles (0 to 2pi) there are... i belive its 2 for each rotation so for a single matrix with 2 rotation incorporated are 4 solutions of the inverse kinematics....
3 Answers
- XLv 71 decade agoFavorite Answer
If you utilize the Crinky Principle of Uncertain Mass Indexes in a Molecular Vacuum, you would find that the rotation matrix must be equal to the coefficient ratio of the solar mass. So the answer is 3.
- 4 years ago
(a) think the airplane's typical is the vector N. N is merely despatched to -N. think A and B are 2 vectors which span the airplane. the two are left unchanged. interior the inspiration {N, A, B}, then, the matrix is merely [--a million 0 0] [0 a million 0] [0 0 a million] [-a million 0 0] [0 a million 0] [0 0 a million] [-a million 0 0] [0 a million 0] [0 0 a million] i do no longer see an surprising specific style. finding A and B given N in its unique foundation is noticeably tedious, yet you could build a metamorphosis of foundation matrix that way in case you rather need to.
- ?Lv 61 decade ago
the general 3D rotation matrix is a combination ,1 at a time ,of 3 simpler rotation matrix's
much too complicated to detail here
