This page explores eigenvalues and eigenvectors in linear algebra, detailing their definitions, computations, and applications. Key topics include the characteristic polynomial, diagonalization, compl...This page explores eigenvalues and eigenvectors in linear algebra, detailing their definitions, computations, and applications. Key topics include the characteristic polynomial, diagonalization, complex eigenvalues, and stochastic matrices. The example of rabbit population dynamics demonstrates their long-term system behavior, and the chapter highlights practical applications, such as Google's PageRank algorithm, aimed at fostering a deep understanding of these mathematical concepts.
