powerfulsetoftechniquesfordealingwithsetsofequationsormatrices.InmanycaseswhereGaussianeliminationandLUdecompositionfailtogivesatisfactoryresults,thissetoftechniques,knownassingularvaluedecomposition,orSVD,willdiagnoseforyoupreciselywhattheproblemis.Insomecases,SVDwillnotonlydiagn