John Wiley & Sons - Matrix Differential Calculus With Applications In Statistics And Econometrics - 3Rd Edition - 2007(1).pdf

:t,,Nicholas,,,,David,,,,,:,,TilburgUniversityandHEINZNEUDECKERCesaro,SchagenJOHNWILEY&SONSChichester•NewYork•Weinheim•Brisbane•Singapore•TorontoCopyrightc1988,1999JohnWiley&SonsLtd,BaffinsLane,Chichester,WestSussexPO191UD,EnglandNational01243779777International(+44)1243779777Copyrightc1999oftheEnglishandRussianLATEXfileCentER,TilburgUniversity,,5000LETilburg,(revised)editionLibraryofCongressCataloginginPublicationDataMagnus,.—-471-98632-1();ISBN0-471-98633-X(pbk:),′—dc2198-53556CIPBritishLibraryCataloguinginPublicationDataAcataloguerecordforthisbookisavailablefromtheBritishLibraryISBN0-471-98632-1;0-471-98633-X(pbk)PublicationdataforthethirdeditionThisisversion07/:....................................xiiiPartOne—Matrices1Basicpropertiesofvectorsandmatrices31Introduction.............................32Sets.................................33Matrices:additionandmultiplication...............44Thetransposeofamatrix.....................65Squarematrices...........................66Linearformsandquadraticforms.................77Therankofamatrix........................88Theinverse........