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Lecture
LU Decomposition: Basics
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Linear Algebra: Matrices and Inverses
Explores matrices, inverses, and their applications in linear algebra, emphasizing composition and transformation properties.
Linear Algebra Basics
Covers fundamental concepts in linear algebra, including linear equations, matrix operations, determinants, and vector spaces.
QR Factorization: Least Squares System Resolution
Covers the QR factorization method applied to solving a system of linear equations in the least squares sense.
Matrix Operations: Definitions and Properties
Covers the definitions and properties of matrices, including matrix operations and determinants.
Matrix Operations: LU Factorization & Linear Independence
Covers LU factorization, linear independence, and matrix equations.
SVD: Singular Value Decomposition
Covers the concept of Singular Value Decomposition (SVD) for compressing information in matrices and images.
Matrix Operations: Product and Inverse
Covers matrix operations, focusing on the product and inverse of matrices.