Linear Systems: Equilibria and Stability

Related lectures (30)

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Explores eigenvalues, stability, eigenvectors, and error estimation techniques in linear systems.

Covers the concept of diagonalization of matrices through the study of eigenvectors and eigenvalues.

Explores stability and solutions of linear systems in continuous and discrete time.

Covers the theory and examples of diagonalizing matrices, focusing on eigenvalues, eigenvectors, and linear independence.

Explores the diagonalization of linear maps by finding a basis formed by eigenvectors.

Explains how to find free variables in matrix equations and analyze characteristic polynomials.

Covers linear systems in continuous time, stability analysis, and mass-spring system examples.

Explores eigenvalues and eigenvectors in 3D linear algebra, covering characteristic polynomials, stability under transformations, and real roots.

Covers phase portraits, eigenvalue decomposition, Jordan decomposition, and stable nodes in non-linear systems.

Covers eigenvalues and eigenvectors, explaining their importance in linear algebra.