Hi all,
I would really appreciate your help on this. I'm trying to think through rotation matrixes. It makes sense to me when you are trying to resolve a vector in a new coordinate frame, one would use the rotation matrix R. I'm trying to understand the times when you need to use both the transpose and the rotation matrix itself. For example, I have seen rotation of a matrix M using the following many times: RTMR. My question is why isn't just RM? I know that if you want to square a vector, you would use vvT. Why do they seemingly use the rotation matrix twice? Thanks for your help!
I would really appreciate your help on this. I'm trying to think through rotation matrixes. It makes sense to me when you are trying to resolve a vector in a new coordinate frame, one would use the rotation matrix R. I'm trying to understand the times when you need to use both the transpose and the rotation matrix itself. For example, I have seen rotation of a matrix M using the following many times: RTMR. My question is why isn't just RM? I know that if you want to square a vector, you would use vvT. Why do they seemingly use the rotation matrix twice? Thanks for your help!