Lectures related to Linear Equations: Least Squares Solution

Explores linear models, least squares, Gaussian vectors, and model selection methods.

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

Explores matrix equivalence theorems for systems of equations and least squares solutions.

Covers the definition of linear equations, systems, solutions, and representations in 2D and 3D.

Explains matrix operations, orthogonality, and least squares method in solving linear equations.

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

Explores least squares in linear regression, hypothesis testing, outliers, and model assumptions.

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