Isometries in R^n

In course

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Description

This lecture covers the standard form of an isometry in R^n, focusing on orthogonal matrices and the preservation of distances. It explores the set of isometries, the concept of orthogonal bases, and the special orthogonal group. The lecture also delves into the composition rules of isometries, providing examples of linear isometries and rotations.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_idakn8wq

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra, Representation theory

Mathematical logic: Set theory

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