Tl;dr: What is the universal name for $C$ when comparing two transformations in $C = B * A^{-1}$, assuming C is a transformation itself?
I'm looking into comparing two transformations and extract a transformation that allows me to go from one to the other. But I don't know what to call this.
In 3D graphics I see the word "delta" used a lot to mean a difference of position of vectors. So the delta from position $A$ to position $B$ is the vector $AB$ obtained through $B-A$. But this is a comparison of an additive property to used for Translation.
What if, instead I compare two positions to extract a Scaling transformation between them? The "difference" (?) is not additive but multiplicative. Assuming two co-linear vectors, the Scaling to be applied to position $A$ to become position $B$ is like asking the question: "If position $A$ were to be the multiplicative identity instead of $1$, how much would $B$ be?". Which is obtained with $B/A$.
And the same can be applied to a "pack" of transformations like a Matrix. So I like to think about these as looking to one matrix from the "spacial context" (?) of another matrix, instead of the default identity, correct? If I put matrix $B$ in the context of matrix $A$ I do something like $C = B * A^{-1}$. What do I call $C$ then? The matrix delta? Or is there another better suited universal name for these type of transformations comparison and extraction of the difference (which is a transformation itself)?
Thanks a lot!