Forthedatacontaminatedbyoutliers,weprovethatundercertainconditionsLRRcanexactlyrecovertherowspaceoftheoriginaldataanddetecttheoutlieraswell;forthedatacorruptedbyarbitraryerrors,LRRcanalsoapproximatelyrecovertherowspacewiththeoreticalguarantees。 X=AZ+E.