In linear algebra, two n-by-n matrices A and B are called consimilar if for some invertible
Like ordinary similarity, consimilarity is an equivalence relation on the set of
matrices, and it is reasonable to ask what properties it preserves.
The theory of ordinary similarity arises as a result of studying linear transformations referred to different bases.
Consimilarity arises as a result of studying antilinear transformations referred to different bases.