Examples:: *[[Examples]]* Nonexamples:: *[[Nonexamples]]* Constructions:: *[[Constructions|Used in the construction of...]]* Generalizations:: [[isometric matrix]], [[linear isometry]] Justifications and Intuition:: *[[Justifications and Intuition ]]* ---- > [!definition] Definition. ([[orthogonal matrix]]) > An [[orthogonal matrix]] is what we call an [[isometric matrix]] when [[real numbers]] is the ground [[field|field]]. **So, see [[isometric matrix]].** ---- ---- #### References > [!backlink] > ```dataview > TABLE rows.file.link as "Further R[](field.md)[[]] > FLATTEN file.tags as Tag > WHERE Tag = "#definition" OR Tag = "#theorem" OR Tag = "#MOC" OR Tag = "#proposition" OR Tag = "#axiom" > GROUP BY Tag > ``` > [!frontlink] > ```dataview > TABLE rows.file.link as "Further Reading" > FROM outgoing([[]]) > FLATTEN file.tags as Tag > WHERE Tag = "#definition" OR Tag = "#theorem" OR Tag = "#MOC" OR Tag = "#proposition" OR Tag = "#axiom" > GROUP BY Tag > ```