Ayns maddaght, y possan cair-uillinagh keim n er rheam F (screeut myr O(n,F)), shen possan jeh n-rish-n matricksyn cair-uillinagh as fys F ayndaue, as yn obbyr possanagh yl-raghey matricks oc. She fo-phossan jeh'n phossan cadjin linnagh GL(n,F) t'ayn, rere:

${\displaystyle \mathrm {O} (n,F)=\{Q\in \mathrm {GL} (n,F)\mid Q^{T}Q=QQ^{T}=I\}}$

as Q^T ny vaylartey Q. Son y chooid smoo, t'ad screeu y possan cair-uillinagh claddisagh er ny feer earrooyn myr O(n).

She bun ta'n art shoh. Cur rish, son foays y yannoo da Wikipedia.