General Transformations

Related lectures (31)

Page 3 of 4

Explores linear applications, matrices, transformations, rotations, symmetries, and properties of applications.

Introduces rotations in quantum mechanics, covering the Rodriguez formula and active transformations.

Explores isometries in space, transformations preserving lengths and angles, including reflections, rotations, and translations.

Explores rotations as isometries composed of reflections with common axes and the flexibility in choosing rotation axes.

Explores changing bases for rotations, orthogonal planes, and vector transformations under rotation.

Introduces tools for manipulating and analyzing 3D point clouds using CloudCompare software.

Covers the concept of discrete symmetries, focusing on the introduction to asymptotic states and S-matrix.

Covers 3D rotations, quaternions, and matrices of direction cosines, providing an elegant solution to the limitations of rotation matrices.

Covers cylindrical and spherical coordinates, vector positions, velocities, accelerations, and rotations.

Explores orthogonal matrices and transformations, emphasizing preservation of norms and angles.