Lectures related to Linear Applications and Matrix Derivatives

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

Explores functions of class C^p, Hessian matrices, and methods to verify differentiability at a point.

Explores differentiability, partial derivatives, Schwarz's theorem, and function continuity in mathematical analysis.

Explores functions with values in R^m, gradients, derivatives, and the Jacobian matrix in multiple dimensions.

Explores the properties of invertible matrices, including unique solutions and linear independence.