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Eigenvalues and Eigenvectors
This lecture covers the concept of eigenvalues and eigenvectors in linear algebra. The instructor explains how to calculate eigenvalues and eigenvectors, and demonstrates their importance in various applications. Examples are provided to illustrate the theory, including the diagonalization of matrices and the reduction of forms. The lecture also discusses the properties of eigenvalues and eigenvectors, such as their relationship with determinants and traces. Additionally, the instructor explores the diagonalizability of matrices and the conditions under which a matrix can be diagonalized.