Eigenvalues of Matrices: Properties and Relations

This lecture discusses the properties and relations of eigenvalues of square matrices, focusing on the statements regarding the eigenvalues of the product of two matrices. It covers the conditions under which certain statements are true, such as the eigenvalues of the sum and product of matrices. The instructor explains the concept of an invertible matrix and its implications on the eigenvalues of the product of matrices. The lecture also explores specific examples to illustrate the relationships between eigenvalues of different matrix operations.