Lectures related to Compactness Criterion in Reductive Groups

Covers linear transformations using matrices, focusing on linearity, image, and kernel.

Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.

Covers translations, homotheties, and their analytical expressions, emphasizing stability by composition.

Covers the calculation of the cross product in coordinates using vectors in space.

Covers the decomposition of a vector in a base and its applications in speed and distance calculations.

Covers translations, homotheties, and geometric transformations using vectors and matrices.

Explores properties and interpretations of vectors in space, including mixed product and linear dependence.

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

Covers translations, homotheties, and their geometric properties, including reversibility and composition.