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

:<math>\mathrm{O}(n,F) = \{ Q \in \mathrm{GL}(n,F) \mid Q^T Q = Q Q^T = I \}</math>

as ''Q<sup>T</sup>'' ny [[maylartey (maddaght)|vaylartey]] ''Q''. Son y chooid smoo, t'ad screeu y possan cair-uillinagh claddisagh er ny [[feer earroo|feer earrooyn]] myr O(''n'').

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[[Ronney:Possanyn Lie]]
[[Ronney:Cummaghyn kerrinagh]]
[[Ronney:Co-chrooaghtyn Euclidagh]]
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:

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

Ronney:Possanyn Lie
Ronney:Cummaghyn kerrinagh
Ronney:Co-chrooaghtyn Euclidagh