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ÓÍÈÌÎÄÓËßÐÍÎÅ ÏÐÅÎÁÐÀÇÎÂÀÍÈÅ — ëèíåéíîå ïðåîáðàçîâàíèå ëèíåéíîãî ïðîñòðàíñòâà, ïðè êîòîðîì ñîõðàíÿåòñÿ îáúåì. Ìàòðèöà Ó. ï. â ëþáîì áàçèñå èìååò îïðåäåëèòåëü, ðàâíûé åäèíèöå. Âñåâîçìîæíûå Ó. ï. îáðàçóþò óíèìîäóëÿðíóþ ãðóïïó.