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Lecture
Rotation in Mathematics
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Related lectures (29)
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Eigenspaces: Definitions and Examples
Introduces eigenspaces in linear algebra through definitions and practical examples of determining eigenspaces for matrices.
Coordinate Systems and Rotations
Covers cylindrical and spherical coordinates, vector positions, velocities, accelerations, and rotations.
Analytical Study of Space
Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.
Indicial Notation and Vectors
Explores indicial notation, vectors, and the transformation law in the context of mass flux density.
Translations and Homotheties
Covers translations, homotheties, and geometric transformations using vectors and matrices.
Linear Transformations: Matrices and Applications
Explores linear transformations, matrices, and their practical applications in various contexts.
Kinematics and Dynamics: Reference Frames, Vectors, and Accelerations
Explores reference frames, vectors, accelerations, and rotations in physics, including kinematics of a material point and uniform circular motion.
Linear Applications: Matrices and Transformations
Covers linear applications, matrices, transformations, and the principle of superposition.
Rotations: Angular Momentum
Covers angular momentum in rotations, including preservation of angles and vector products.
Translations and Homotheties
Covers translations, homotheties, and their analytical expressions, emphasizing stability by composition.