Okay, since I did not get any feedback on my previous post under Generalized Spin Matrices, perhaps because the question did not give enough background information, I will restate my question in a different form.(adsbygoogle = window.adsbygoogle || []).push({});

Say I have a matrix similar to the SO(3) matrix for general 3-D rotations, except it has slightly different (simpler) elements, and the symmetry is as follows:

[tex] \left(\begin{array}{ccc}

A & B & C \\

B & D & E \\

C & E & D

\end{array}\right) [/tex] ,

with A, B, C, D, and E all involving somewhat simple terms with sines and cosines of up to 3 angles (i.e. [tex] \sin\theta 12[/tex], [tex]\cos\theta 13[/tex], and [tex]\sin\theta 23 [/tex]). Is it possible to put this matrix into a basis using only 3 independent unit vector matrices? Let me know if you want more info.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Representation of a Rotation Matrix

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**