Lecture
This lecture introduces eigenvalues and eigenvectors, essential concepts in linear algebra, with a focus on understanding their significance and applications. The instructor discusses the process of finding eigenvalues and eigenvectors, illustrating it with examples and explaining the relationship between them. Additionally, the lecture delves into the Fibonacci sequence, showcasing its mathematical properties and how it can be calculated efficiently using matrix exponentiation. The presentation emphasizes the practical implications of eigenvalues in various fields, such as control systems and robotics, highlighting their role in modeling and analyzing complex systems.