Lectures related to System of linear equations

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

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

Explores linear combinations, matrix-vector product, and matrix equation solutions.

Explores the concept of linear independence in vector spaces through definitions and illustrative examples.

Covers the fundamentals of linear equations systems, including definitions, representations, and solution methods.

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

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

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

Explains linear independence, basis, and matrix rank with examples and exercises.

Covers the formulation of linear systems, direct and iterative methods for solving them, and the cost of LU factorization.

Explores finding particular solutions for homogeneous differential equations, emphasizing linear independence and variation of constants.

Introduces algebraic properties, vector equations, and matrix operations.

Explores linear dependence and independence of vectors in geometric spaces.

Explores linear dependence and independence of vectors, including subspaces generation and corollaries.

Covers the concept of osculating planes and parameterized curves, discussing the speed of points and linear independence.

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

Introduces linear algebra concepts, focusing on solving systems of linear equations and their representations.

Covers the general solution of inhomogeneous differential equations and explores linear dependence, uniqueness theorems, and second-order equations.

Explores the dynamics of singular Riemann surface foliations, focusing on vector fields, linear parts, and coordinate changes.

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