---- > [!definition] Definition. ([[special orthogonal group]]) > The **special orthogonal group** $\text{SO}_{n}$ is the [[group]] of [[orthogonal matrix|orthogonal matrices]] that [[orientation-preserving and orientation-reversing operators|preserve orientation]] (i.e., have [[determinant|det]] $= +1$). ---- #### ---- #### References > [!backlink] > ```dataview > TABLE rows.file.link as "Further Reading" > FROM [[]] > 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 > ```