Lectures related to Extremum of a Function: Constraints

Explores the Lagrange Multipliers Theorem, covering extrema conditions and geometric interpretations.

Explores scaling and renormalization in statistical mechanics, emphasizing critical points and invariant properties.

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

Explains linear constraints and variable elimination in optimization problems, illustrating the process step by step.

Introduces orthogonal families, orthonormal bases, and projections in linear algebra.

Covers the method of Lagrange multipliers to find extrema subject to constraints.

Covers matrix kernels, images, linear applications, independence, and bases in vector spaces.

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