Linear Algebra: Cardinality and Mapping

This lecture covers the concepts of cardinality and mapping in linear algebra. It starts by defining the cardinality of sets and then introduces the concept of mapping between sets. The lecture explains how to determine if two sets have the same cardinality and how to define a map between two sets. It also discusses the generalization of the notion of cardinality and provides examples to illustrate these concepts. The instructor uses examples and visual aids to help students understand the material.