Source: wikibot/projective-orthogonal-group
= Projective orthogonal group
{wiki=Projective_orthogonal_group}
The Projective Orthogonal Group, often denoted as \\( P\\text\{O\}(n) \\), is a group that arises in the context of projective geometry and linear algebra. It is closely related to the orthogonal group and the projective space. Here's a breakdown of the definitions and concepts involved: 1. **Orthogonal Group**: The orthogonal group \\( O(n) \\) consists of all \\( n \\times n \\) orthogonal matrices.