DLA Terminology and notation

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Section 26.2 Terminology and notation

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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