- #1
Trying2Learn
- 373
- 57
Hello
This could very well be an idiotic question, but here goes...
Consider a general matrix M
Consider a rotation matrix R (member of SO(2) or SO(3))
Is it possible to split M into the product of a rotation matrix R and "something else," say, S?
Such that: M = RS or the sum M = R + S
What would that something else, S, be?
Would 2D and 3D be different?
Oddly, despite the stupidity (I fear it may be an idiotic question), I am aware of SE(2) (3x3 matrix) and SE(3) (4 x4 matrix) and their roles in separating rotations from translations. So I would rather not go down that path.
This could very well be an idiotic question, but here goes...
Consider a general matrix M
Consider a rotation matrix R (member of SO(2) or SO(3))
Is it possible to split M into the product of a rotation matrix R and "something else," say, S?
Such that: M = RS or the sum M = R + S
What would that something else, S, be?
Would 2D and 3D be different?
Oddly, despite the stupidity (I fear it may be an idiotic question), I am aware of SE(2) (3x3 matrix) and SE(3) (4 x4 matrix) and their roles in separating rotations from translations. So I would rather not go down that path.