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Related lectures (30)
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Phase Portrait and Non-linear Systems
Covers phase portraits, eigenvalue decomposition, Jordan decomposition, and stable nodes in non-linear systems.
Symmetric Matrices: Diagonalization
Explores symmetric matrices, their diagonalization, and properties like eigenvalues and eigenvectors.
Eigenvalues and Eigenvectors
Covers eigenvalues, eigenvectors, and characteristic polynomials in matrix transformations.
Diagonalization Criteria
Covers the second criterion of diagonalization and similar matrices in linear applications.
Non-Diagonalizable Cases: Simple Eigenvalue Examples
Illustrates examples of non-diagonalizable matrices with a single eigenvalue.
Diagonalization of Matrices
Explores the diagonalizability of matrices, linear transformations, and matrix representations with practical examples.
Determinants: Properties and Operations
Covers the definition and properties of determinants for square matrices, including elementary operations and Lagrange's theorem.
Diagonalization: multiplicities
Explores geometric and algebraic multiplicities in diagonalization of linear transformations.
Eigenvalue Geometric Multiplicity
Explains how to determine the geometric multiplicity of an eigenvalue in a matrix.
Linear Systems: Continuous Time
Covers linear systems in continuous time, stability analysis, and mass-spring system examples.
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