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Lecture
Linear Transformations: Matrix Representation
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Related lectures (28)
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Matrix Similarity and Diagonalization
Explores matrix similarity, diagonalization, characteristic polynomials, eigenvalues, and eigenvectors in linear algebra.
Diagonalization of Linear Transformations
Explains the diagonalization of linear transformations using eigenvectors and eigenvalues to form a diagonal matrix.
Linear Applications: Matrices and Transformations
Covers linear applications, matrices, transformations, and the principle of superposition.
Diagonalization of Matrices: Theory and Examples
Covers the theory and examples of diagonalizing matrices, focusing on eigenvalues, eigenvectors, and linear independence.
Diagonalization of Matrices
Explores the diagonalization of matrices through eigenvalues and eigenvectors, emphasizing the importance of bases and subspaces.
Linear Recurrences and Applications
Explores linear recurrences, applications between sets, and the significance of functions and operators in mathematics and physics.
Algebraic Multiplicity, Geometric Multiplicity
Explores algebraic and geometric multiplicities of eigenvalues in linear algebra.
Diagonalization in 3D Linear Algebra
Explores diagonalization in 3D linear algebra, covering conditions for diagonalizability and eigenvectors.
Stationary Distribution in Markov Chains
Explores the concept of stationary distribution in Markov chains, discussing its properties and implications, as well as the conditions for positive-recurrence.
Oja's Rule
Covers Oja's rule in Neurorobotics, focusing on learning eigenvectors and eigenvalues for capturing maximal variance.