I am starting with a matrix $A$ and making a complicated rotation in n dimensions, resulting in the matrix $B$. I am making the rotation and move back again to the original matrix $A$ using an $n*n$ matrix with a determinant of 1.
Suppose now that I have new coordinate points related to B, and I want to apply exactly the same inverse rotation to find their predicted coordinates in A. How would I do this? My rotation matrix is the wrong size.
I am not a mathematician - I'm trying to program this in python. So please go easy on me!