Eigenvalues and Stability

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Explores eigenvalues and eigenvectors in matrices through examples and calculations.

Explores stability in linear 2D systems, covering fixed points, vector fields, and phase portraits.

Introduces linear algebra concepts, focusing on solving systems of linear equations and their representations.

Explores eigenvalues, eigenvectors, diagonalization, and spectral theorem in linear algebra.

Explores stability analysis in linear systems, emphasizing eigenvalues, eigenvectors, and stable manifolds.

Explains the diagonalization of linear transformations using eigenvectors and eigenvalues to form a diagonal matrix.

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

Covers the Singular Value Decomposition (SVD) in detail, including properties of matrices and system linearity.

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

Explores the application of matrices and eigendecompositions in networks.