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Related lectures (32)
Linear Algebra: Vector Spaces
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Explores vector spaces, linear independence, and spanning sets in linear algebra.
Linear Dependence and Independence
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Explores linear dependence and independence of vectors, including subspaces generation and corollaries.
Linear Dependence Theorems and Proofs
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Explores linear dependence theorems and proofs, emphasizing the importance of understanding linear dependence in linear algebra.
Orthogonality and Least Squares Method
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Covers orthogonal vectors, unit vectors, and the Pythagorean theorem in R^m.
Linear Transformations: Matrices and Applications
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Explores linear transformations, matrices, and their practical applications in various contexts.
Eigen Library for Linear Algebra
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Explores the Eigen library for linear algebra, covering vectors, matrices, arrays, memory management, reshaping, and per-component operations.
Kernel, Image and Linear Maps
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Explains kernel, image, and linear maps, illustrating concepts with examples.
Algebraic Structures: Fields and Vectorial Spaces
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Covers prime numbers, vectors, 3D geometry, crystallography, and algebraic structures in materials science.
Constrained optimization: the basics
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Covers the basics of constrained optimization, including tangent directions, trust-region subproblems, and necessary optimality conditions.
Electromagnetism: UNIL-208
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Introduces the basics of electromagnetism, covering derivatives, vector calculus, scalar and vector products, and their applications in physics and engineering.
School Product: Geometric Properties
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Covers the school product and geometric properties of vectors in space.
Motion Analysis: Cartesian and Polar Coordinates
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Covers the analysis of motion using Cartesian and polar coordinates, focusing on kinematics and acceleration components.
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