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Lecture
Decomposition LU: Example
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Linear Systems: Diagonal and Triangular Matrices, LU Factorization
Covers linear systems, diagonal and triangular matrices, and LU factorization.
Matrix Factorization: LU Decomposition
Covers the LU decomposition method for matrix factorization and its application in electrical engineering.
Linear Algebra: Matrix Representation
Explores linear applications in R² and matrix representation, including basis, operations, and geometric interpretation of transformations.
Characterization of Invertible Matrices
Explores the properties of invertible matrices, including unique solutions and linear independence.
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.
Linear Algebra: Matrix Decomposition and Base Change
Covers the algorithm for matrix decomposition and base change in linear algebra.
Linear Systems Resolution
Explores LU decomposition for solving linear systems and the associativity of operations.
Diagonalization Techniques: Jacobi Method
Covers the Jacobi method, Givens rotation, QR decomposition, and diagonalization techniques in computational physics.
QR Factorization: Least Squares System Resolution
Covers the QR factorization method applied to solving a system of linear equations in the least squares sense.
Singular Value Decomposition
Covers the Singular Value Decomposition (SVD) of a matrix and its applications.