- #1

Trying2Learn

- 324

- 49

- TL;DR Summary
- What is the advantage of knowing something is in a group.

Good Morning!

I know that Rotation matrices are members of the SO(3) group.

I can prove some useful properties about it:

The inverse is the transpose;

Closure properties;

However, what is the advantage of asserting that a rotation matrix is a member of the SO(3) group, when all I really need is to know the inverse and closure properties?

I know that Rotation matrices are members of the SO(3) group.

I can prove some useful properties about it:

The inverse is the transpose;

Closure properties;

However, what is the advantage of asserting that a rotation matrix is a member of the SO(3) group, when all I really need is to know the inverse and closure properties?