Improper rotation matrix

Metadata
aliases: [Rotoinversion matrix]
shorthands: {}
created: 2022-04-16 06:58:57
modified: 2022-04-16 07:01:01

A rotation matrix is improper if its determinant is negative:

Otherwise, it is proper.

These are also known as rotoinversions, since they consist of a rotation and an inversion transformation.