General Conics: Ellipse and Hyperbola

This lecture covers the properties of general conics, focusing on ellipses and hyperbolas. The instructor explains the concepts of passage matrix, cross product, mixed product, and homo coordinates in the context of conics. The lecture also delves into determining the equation of conics in different bases and the diagonalizability of conics. Various methods for computing invariants and eigenvalues are discussed, leading to the identification of conic shapes. The presentation concludes with a summary of the key results obtained throughout the lecture.