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Commuting matrices
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Diagonalizable Matrices: Properties and Eigenvalues
Explores the properties of diagonalizable matrices and their eigenvalues for different parameters.
Decomposition of Linear Operators
Covers the decomposition of linear operators and properties of eigenspaces.
Linear Algebra: Reduction of Linear Application
Covers the reduction of a linear application and finding corresponding reduced forms and bases.
Diagonalization of Matrices
Explores the diagonalization of matrices through eigenvalues and eigenvectors, emphasizing the importance of bases and subspaces.
Dynamics on Homogeneous Spaces and Interactions with Number Theory
Explores dynamics on homogeneous spaces and their interactions with number theory, focusing on modular lattices and the Iwasawa decomposition theorem.
Diagonalizable Matrices: Properties and Examples
Explores the properties and examples of diagonalizable matrices, emphasizing the relationship between eigenvectors and eigenvalues.
Diagonalizable Matrices: Properties and Bases
Covers properties of diagonalizable matrices, invertibility, and basis of eigenspaces.
Diagonalizable Matrices
Covers the process of determining if a matrix is diagonalizable.
Diagonalizable Matrices: Properties and Determinants
Explains the properties and determinants of diagonalizable matrices in linear algebra.
Eigenvalues and Diagonalization
Explores eigenvalues, diagonalization, and matrix similarity, showcasing their importance and applications.