- 1.2k Downloads
The original and possibly most important use of invariants is to detect whether two mathematical objects are equivalent under some transformation. For example, given two matrices, we may wish to decide whether or not they are conjugate. If their eigenvalues differ, then they cannot be conjugate. In other words, the eigenvalues serve to partially distinguish non-conjugate matrices. Separating invariants typically play a similar role.
Unable to display preview. Download preview PDF.