Translations and Homotheties

Related lectures (31)

Page 3 of 4

Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.

Introduces vector definitions, displacement, addition, and applications in geometry.

Covers the reminder of tensors, vectors, and Lorentz transformations, and the formulation of theory.

Covers rotation matrices and transformations in mathematics, providing examples of rotating vectors in different dimensions.

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

Introduces eigenspaces in linear algebra through definitions and practical examples of determining eigenspaces for matrices.

Covers the concept of orientation in the plane and transformations using matrices.

Covers calculations in coordinates for vectors, including bases, scalar product, and determinants, with geometric interpretations and examples.

Explores linear dependence and independence of vectors in geometric spaces.

Explores the symmetry of vectors with respect to a line in Analytical Geometry.