Cartesian Product and Induction

This lecture covers the concept of Cartesian product, which is the set of all possible ordered pairs from two sets, and the application of induction or recurrence method to prove statements depending on integers. The instructor explains how to find the Cartesian product, use induction for proofs, and demonstrate the properties of sets and integers. The lecture progresses through examples and demonstrations, illustrating the importance of understanding Cartesian products and applying mathematical induction.