Lecture

Isometries in Euclidean Spaces

In course

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Description

This lecture covers the concept of isometries in Euclidean spaces, which are bijective transformations that preserve distances. Examples include translations and rotations around a fixed point. The lecture also discusses orthogonal symmetry as a linear isometry. Various properties and proofs related to linear isometries are presented, along with the notion of affine transformations. The lecture concludes with a detailed exploration of matrices and their role in defining isometries.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_uj1v01b7

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