Translations and Homotheties

Related lectures (32)

Page 2 of 4

Covers linear transformations, matrices, kernels, and properties of invertible matrices.

Explores projections on lines and symmetries in 2D space, emphasizing fixed points and symmetric matrices.

Explores the canonical basis in linear algebra, focusing on matrix representation, diagonalizability, and characteristic polynomials.

Explores the diagonalization of matrices and the conditions for exact diagonalization, with examples demonstrating the process.

Explores linear applications in R² and matrix representation, including basis, operations, and geometric interpretation of transformations.

Covers the concept of 2D rotations and their analytical expressions.

Covers the geometric definition of rotations in 2D and analytical expressions for rotations using matrices.

Explores reflection and rotation composition in analytical geometry, including finding centers and solving fixed point systems.

Explores the analytical study of space, covering relative positions, angles, and properties of lines and planes.

Explores the transformation of vectors and tensors, including rotations and representations in quantum physics.