Lectures related to Electrotechnique: Basics and Applications

Explores homogeneous linear systems, solutions, independence, and vector spaces.

Covers echelon matrices, vector equations, linear combinations, and vector spans in R^n.

Explores Kirchhoff's laws in DC circuits, resistor analysis, and capacitor behavior.

Explores linear transformations, matrices, injective, surjective, and bijective properties, matrix operations, and special matrix types.

Explores the Cauchy-Lipschitz theorem for ODE solutions and linear transformations.

Covers the Factorisation QR theorem and the Gram-Schmidt method for orthonormal bases.