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Lecture
Eigenvalues, Eigenvectors: Stable Vectorial Lines
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Eigenvalues and Eigenvectors
Covers eigenvectors, eigenvalues, and their significance in linear applications.
Eigenvalues and Eigenvectors: Understanding Matrix Transformations
Explores eigenvalues and eigenvectors in matrix transformations, essential for understanding mathematical and real-world systems.
Diagonalizability of Linear Transformations
Explores the conditions and implications of diagonalizability of linear transformations, including eigenvectors, eigenvalues, and distinct matrices.
Oja's Rule
Covers Oja's rule in Neurorobotics, focusing on learning eigenvectors and eigenvalues for capturing maximal variance.
Linear Algebra: Spectral Decomposition
Covers the spectral decomposition of matrices and change of basis applications.
Linear Operators: Basis Transformation and Eigenvalues
Explores basis transformation, eigenvalues, and linear operators in inner product spaces, emphasizing their significance in Quantum Mechanics.
Matrix Equations: Finding Free Variables
Explains how to find free variables in matrix equations and analyze characteristic polynomials.