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Linear Algebra: Applications and Algorithms
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Related lectures (29)
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Eigenvalues and Optimization: Numerical Analysis Techniques
Discusses eigenvalues, their calculation methods, and their applications in optimization and numerical analysis.
Derivability and Composition
Covers derivability, linear applications, composition of functions, and the gradient vector.
Orthogonal Bases and Projection
Introduces orthogonal bases, projection onto subspaces, and the Gram-Schmidt process in linear algebra.
Matrix Multiplication: Applications and Properties
Covers matrix multiplication, properties, and inverses in linear algebra.
Matrix Decomposition: Triangular and Spectral
Covers the decomposition of matrices into triangular blocks and spectral decomposition.
Linear systems resolution
Covers the resolution of linear systems and its link to optimization problems.
Orthogonal Base Change
Explores orthogonal base change in linear algebra, focusing on matrices and transformations.
Linear Algebra Basics: Vector Spaces, Transformations, Eigenvalues
Covers fundamental linear algebra concepts like vector spaces and eigenvalues.
Introduction to Signals and Systems: Course Overview
Introduces the EPFL course on Signals and Systems, covering course structure, evaluation, and key engineering concepts.
Linear Applications and Eigenvectors
Covers linear applications, diagonalizable matrices, eigenvectors, and orthogonal subspaces in R^n.