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Related lectures (23)
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Matrix Equations: Linear Combinations
Covers matrix equations as linear combinations, vector spaces, and geometric interpretations.
Hamilton-Jacobi Equation: Analytical Mechanics
Explores the Hamilton-Jacobi equation in analytical mechanics, focusing on eigenvalues, constants of motion, and system predictability.
Eigenvalues and Eigenvectors Decomposition
Covers the decomposition of a matrix into its eigenvalues and eigenvectors, the orthogonality of eigenvectors, and the normalization of vectors.
Hamilton-Jacobi Equations: Phase Portrait
Explores Hamilton-Jacobi equations, phase portrait, and period calculation using action-angle variables for system trajectories.
Linear Algebra: Cofactors and Eigenvectors
Explains cofactors, eigenvectors, eigenvalues, and studying linear applications.
Linear Algebra: Vector Spaces
Explores vector spaces, subspaces, bases, and linear combinations in R² and R³, including free and linked families.
Diagonalization: Eigenvectors and Eigenvalues
Covers the diagonalization of matrices using eigenvectors and eigenvalues.
Natural Transformations: Examples and Applications
Explores natural transformations between functors in different categories and their applications.
Characterizing Fibrations in Chain Complexes
Explores the characterization of fibrations and acyclic fibrations in chain complexes.
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