Duba wurin da ke ƙasa sannan ka amsa tambayar daga baya a cikin harshe ɗaya kamar yadda wurin yake:  Passage: Matrix kungiyoyi sun hada da matrices tare da matrix ninka. Ƙungiyar layi na gaba ɗaya GL ((n, R) ta ƙunshi dukkanin matattarar n-by-n mai juyawa tare da shigarwar gaske. Ƙungiyoyinsa ana kiransu ƙungiyoyin matrix ko ƙungiyoyi masu layi. Misali na ƙungiyar dihedral da aka ambata a sama za a iya kallon shi a matsayin (ƙaramin) matrix group. Wani muhimmin rukunin matrix shine rukunin orthogonal na musamman SO ((n). Ya bayyana duk yiwuwar juyawa a cikin n girma. Ta hanyar kusurwoyin Euler, ana amfani da matattarar juyawa a cikin zane-zanen kwamfuta. Ka'idar wakilci ita ce aikace-aikacen ra'ayin rukuni kuma yana da mahimmanci don zurfin fahimtar ƙungiyoyi. Yana nazarin rukuni ta hanyar ayyukan rukuni a wasu wurare. Babban nau'i na wakilcin rukuni sune wakilcin layi, watau, ƙungiyar tana aiki akan sararin samaniya, kamar sararin samaniya na Euclidean mai girma uku R3. Wani wakilci na G a kan n-girma real vector sarari ne kawai wani rukuni homomorphism  Tambaya: Abin da size matrix kungiyar za a iya gani a matsayin misali?
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