Lectures related to Linear equation

Newton's Method: Convergence and Criteria

Explores the Newton method for non-linear equations, discussing convergence criteria and stopping conditions.

Linear Dependence and Independence: Properties and Criteria

Covers the properties and criteria of linear dependence and independence in a vector space.

QR Factorization: Least Squares System Resolution

Covers the QR factorization method applied to solving a system of linear equations in the least squares sense.

Linear Equations and Matrices

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

Linear Equations and Matrices

Introduces linear equations with real coefficients, systems, solutions, and representations in 2D and 3D spaces.

Non-linear Equations: Dichotomy Method

Explores non-linear equations using the dichotomy method for finding zeros with tolerance.

Systems of Linear Equations and Matrices

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

Analytical Geometry: Cartesian Equations

Explores Cartesian equations for lines in a plane and their parametric descriptions.

Linear Equations and Matrices

Covers the fundamentals of linear equations, systems, solutions, and graphical representation.

Analytical Study of Space

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

Linear Equations: Least Squares Solution

Explains how to solve linear equations using the least squares method to minimize errors in the system.

Linear Applications: Bases and Dual Spaces

Explores bases, dual spaces, and linear applications in linear algebra.

Linear Algebra: Linear Dependence and Independence

Explores linear dependence and independence of vectors in geometric spaces.

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Linear Equations: Elementary Operations

Explores systems of linear equations, elementary operations, augmented matrices, and Gaussian elimination algorithm.

Linear Equations Resolution

Covers the resolution of linear equations, focusing on trigonometric equations and elementary concepts.

Stationary Distribution in Markov Chains

Explores the concept of stationary distribution in Markov chains, discussing its properties and implications, as well as the conditions for positive-recurrence.

Linear Equations: Introduction and Solutions

Introduces linear equations and explores solutions through different methods.

Goldstone Bosons: Higgs Mechanism

Explores Goldstone bosons and the Higgs mechanism, revealing how spontaneous symmetry breaking generates mass for gauge bosons.