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Lecture
Diagonalization of Matrices
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Singular Values: Definitions and Properties
Covers the concept of singular values in linear algebra and their properties, including diagonalization and practical examples.
Diagonalization of Linear Maps
Explores the diagonalization of linear maps by finding a basis formed by eigenvectors.
Matrix Eigenvalues and Eigenvectors
Covers matrix eigenvalues, eigenvectors, and their linear independence.
Diagonalization Method: Application and Properties
Covers the method of diagonalization for determining if a non-square matrix A is diagonalizable.
Linear Operators: Basis Transformation and Eigenvalues
Explores basis transformation, eigenvalues, and linear operators in inner product spaces, emphasizing their significance in Quantum Mechanics.
Eigenvalue Problems: Methods and Applications
Explores eigenvalue problems, iterative methods, convergence properties, and applications in computational physics.
Matrices and Quadratic Forms: Key Concepts in Linear Algebra
Provides an overview of symmetric matrices, quadratic forms, and their applications in linear algebra and analysis.
Convex Optimization: Notation and Matrix Norms
Introduces Convex Optimization notation, convex functions, vector norms, and matrix properties.