保持共产党员先进性教育学习心得体会广义逆矩阵与相容线性方程组关键词:广义逆矩阵;极小范数解;线性方程组GeneralizedInverseMatrixandCompatibleLinearEquationsAbstract:Thispapersystematicallydiscussedthedefinition,natureandcalculationoftwokindsofgeneralizedinversematrixrelatedtothecompatiblelinearequations,andtheirrelationswiththecompatiblelinearequations.Theprefacegavethedefinitionandintroducedhistory,backgroundofdevelopmentandsignificanceofgeneralizedinversematrix.Thefirstchapter,fromthedevelopmentprocessofgeneralizedinverse,discussedallkindsofdefinitionofgeneralizedinversedeterminedbytheMoore-Penroseequations.ThesecondchapterdiscussedthedefinitionandnatureofdashesinverseAingeneralizedinverseaswellasitsapplicationincompatiblelinearequations.ThethirdchapterdiscussedthedefinitionandcalculationoftheminimumnorminverseAingeneralizedinverse,aswellastheMinimalNormSolutionofitscompatiblelinearequationsAx=b.Thewholetextcompletelyprovidedthedefinition,natureandcomputationoftwokindsofgeneralizedinversematrixrelatedtothecompatiblelinearequationanditsapplicationinthecompatiblelinearequations.Keywords:generalizedinversematrix;MinimalNormSolution;linearequations