Lecture
This lecture covers the calculations and algorithms for determining the determinant of a matrix, including operations like permuting rows, multiplying rows by a non-zero coefficient, and using cofactors. The instructor explains the process of expanding along a line or column to calculate the determinant, emphasizing the importance of choosing the right approach. The lecture also delves into the concept of inverses and linear applications, showcasing practical examples and theorems related to matrix invertibility and elementary row operations.