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Lecture
Jacobi Method
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Eigenvalues and Minimal Polynomial
Explores eigenvalues and minimal polynomial, emphasizing their importance in linear algebra.
Diagonalization Techniques: Jacobi Method
Explores the Jacobi method and diagonalization techniques, including similarity transformation, power methods, and QR decomposition.
Linear Algebra: Reduction of Linear Application
Covers the reduction of a linear application and finding corresponding reduced forms and bases.
Matrix Reduction: Part 1
Covers the reduction of a linear transformation in a 2-dimensional space to find a simpler matrix representation.
Numerical Analysis: Direct Methods for Linear Systems
Covers direct methods for solving linear systems in numerical analysis.
Density Operator: Quantum Physics II
Covers the concept of matrix to the density operator in quantum physics.
Eigenstate Thermalization Hypothesis
Explores the Eigenstate Thermalization Hypothesis in quantum systems, emphasizing the random matrix theory and the behavior of observables in thermal equilibrium.
Diagonalization of Linear Transformations
Covers the diagonalization of linear transformations in R^3, exploring properties and examples.
Convergence in Induced Matrix
Covers convergence in induced matrices and advection-diffusion phenomena.
Diagonalizability of Matrices
Explores the diagonalizability of matrices through eigenvectors and eigenvalues, emphasizing their importance and practical implications.