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Related lectures (27)

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Linear Equations: Solutions and Operations

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

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.

Linear Equations: Vectors and Matrices

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

Linear Equations: Matrix Notation & Solutions

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

Linear Algebra: Linear Dependence and Independence

Explores linear dependence and independence of vectors in geometric spaces.

Linear Applications: Matrices and Transformations

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

Forkas Lemma: Theorem of the Alternatives

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

Orthogonality and Least Squares Method

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

Linear Combinations: Vectors and Matrices

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

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.