Linear Recurrence Relations

This lecture covers the definition of linear recurrence relations for sequences of complex numbers, illustrated with examples like the Fibonacci numbers. It explains the theorem related to sequences satisfying linear recurrence relations and the proof of the theorem using generating functions. The lecture also delves into the Taylor expansion of functions, the division of polynomials, and the proof of a lemma involving rational functions. The content concludes with the induction proof of a claim related to polynomials and the matrix form representation of sequences satisfying linear recurrence relations.