Section 26.2 Terminology and notation
We'll repeat the definition of similar matrices here so that we can attach some notation to the notion, and then we'll add a definition related to Discovery 26.1.
- similar matrices
a pair of square matrices \(A\) and \(B\) for which there exists an invertible matrix \(P\) satisfying \(B=\inv{P}AP\text{;}\) we will write \(B \similar A\) to indicate this relationship
- similarity class
the subset of \(\matrixring_n(\C)\) consisting of all matrices that are similar to a particular matrix