I tried this question but still can\'t solve the problem. Please Help ! Thank yo
ID: 2108095 • Letter: I
Question
I tried this question but still can't solve the problem. Please Help ! Thank you
borne exercises with rotation matrices. For the rotation matrix defined by where i, i {x, y, z} are three orthogonormal unit vectors, show that OOT = 1 and detO = 1. For these reasons, we call O a "rank 3 special orthogonal matrix" , or a member of the set (group) SO(3). From the definition of the matrix omega, show that it is equivalent to OOT. Show that omega = OOT is an antisymmetric matrix (hint: use the fact that OOT = I).Explanation / Answer
swap everything in the matrix across the diagonal that goes like y = - x.
That is the transpose of O. Then you multiply O by O Transpose and show that it equals I which is (1 0 0, 0 1 0, 0 0 1)
(b) Just show that w equals I.
(c) I is antisymmetric and it equals O OT which equals w. So w is antisymm