<prompt> Rangarira ndima iri pasi apa uye ipapo pindura mubvunzo gare gare mumutauro mumwe chetewo sechikamu: Passage: Matrix mapoka ane matrix pamwe chete ne matrix kuwanda. General linear group GL n, R inoumbwa nematrix ose anodzoreka n-ne-n ane zvinyorwa zvechokwadi. Mapoka ayo maduku anonzi mapoka ematrix kana kuti mapoka omutsetse. Muenzaniso weboka re dihedral wakataurwa pamusoro apa unogona kuonekwa seboka re diki kwazvo matrix. Rimwe boka rinokosha rematrix iboka rinokosha reorthogonal SO n. Inorondedzera kutenderera kwose kunobvira muzvikamu n. Kuburikidza nemakona aEuler, matrix anotenderera anoshandiswa mumakombiyuta emifananidzo. Dzidziso yekumiririra ndeye zvose kushandiswa kweboka reboka uye inokosha pakunzwisisa kwakadzama kwemapoka. Inodzidza boka kupfurikidza nezviito zvaro zvomuboka pane dzimwe nzvimbo. Rudzi rwakafara rwekumiririra kweboka ndiko kumiririrwa kwakananga, kureva kuti, boka racho riri kushanda pane nzvimbo yevector, yakadai senzvimbo ine mativi matatu yeEuclidean R3. Kumiririrwa kweG pane n-dimensional chaiyo vector nzvimbo inongova boka homomorphism Mubvunzo: Rudzii rwenzvimbo iyo boka rinoshanda pariri?  <response>: nzvimbo yevector 