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Related lectures (41)

Transporters: a proxy for parallel transport

Explores transporters as a practical alternative to parallel transport, discussing minimal requirements, examples with matrices, pragmatic choices, and optimization algorithms.

Gaussian Process-Based Model Predictive Control

Explores Gaussian Process-Based Model Predictive Control for HVAC systems using Gaussian processes, Bayesian statistics, and non-linear equations.

Linear Algebra: Operations and Applications

Explores operations and applications of linear algebra in solving equations and transformations.

Energy System Optimization

Explores energy system optimization, including heat, cost, and CO2 emissions.

Systems of Linear Equations and Matrices MOOC: Warm-up for EPFL MOOC: Learning to study science and engineering MOOC: Linear Algebra (Part 1)

Covers the definition and solution of linear equations with real coefficients in 2D and 3D space.

Eigenspaces: Definitions and Examples MOOC: Linear Algebra (Part 2)

Introduces eigenspaces in linear algebra through definitions and practical examples of determining eigenspaces for matrices.

Linear Equations and Matrices

Introduces linear equations, matrices, systems of equations, and solution sets for 2 or 3 unknowns.

Linear Equations: Solutions and Operations Log in to Mediaspace to watch this video

Covers the solution of linear equations and operations with matrices and vectors.

Linear Equations: Vectors and Matrices Log in to Mediaspace to watch this video

Covers linear equations, vectors, and matrices, exploring their fundamental concepts and applications.

Linear Equations: Matrix Notation & Solutions Log in to Mediaspace to watch this video

Covers matrix notation for linear equations, solutions, and geometric interpretations.

Linear Applications: Matrices and Transformations Log in to Mediaspace to watch this video

Covers linear applications, matrices, transformations, and the principle of superposition.

Forkas Lemma: Theorem of the Alternatives Log in to Mediaspace to watch this video

Explores the Forkas Lemma and the Theorem of the Alternatives in linear equation systems.

Orthogonality and Least Squares Method Log in to Mediaspace to watch this video

Covers orthogonal vectors, unit vectors, and the Pythagorean theorem in R^m.

Linear Combinations: Vectors and Matrices Log in to Mediaspace to watch this video

Explores linear combinations of vectors and matrices in Rn, demonstrating geometric interpretations and matrix operations.

Ordinary Differential Equations Log in to Mediaspace to watch this video

Covers the extension of ordinary differential equations to n-dimensional space.

Analytical Study of Space Log in to Mediaspace to watch this video

Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.

Decomposition of a Vector Log in to Mediaspace to watch this video

Covers the decomposition of a vector in a base and its applications in speed and distance calculations.

Ordinary Differential Equations Log in to Mediaspace to watch this video

Covers the approximation of a system of differential equations using a method based on time intervals.

Matlab: Interactive Mode and Project Steps Log in to Mediaspace to watch this video

Introduces Matlab basics, error handling, and billiards project concepts.

Matrix Operations: Linear Systems and Solutions Log in to Mediaspace to watch this video

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

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