Lecture
This lecture covers the concept of canonical couplings in linear algebra, focusing on the notation and usefulness of such couplings. The instructor explains how to define and extend canonical couplings as linear applications, emphasizing their importance in various applications. The lecture also delves into the construction of dual bases and the properties of non-degenerate couplings. Observations are made on the implications of injectivity and the equivalence of certain conditions in canonical couplings.