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1、ELEMENTARYLINEARALGEBRAK.R.MATTHEWSDEPARTMENTOFMATHEMATICSUNIVERSITYOFQUEENSLANDSecondOnlineVersion,December1998Commentstotheauthoratkrm@maths.uq.edu.auAllcontentscopyrightc1991KeithR.MatthewsDepartmentofMathematicsUniversityofQueenslandAllrightsreservedContents
2、1LINEAREQUATIONS11.1Introductiontolinearequations.................11.2Solvinglinearequations.....................61.3TheGauss{Jordanalgorithm..................81.4Systematicsolutionoflinearsystems..............91.5Homogeneoussystems......................161.6PRO
3、BLEMS...........................172MATRICES232.1Matrixarithmetic.........................232.2Lineartransformations......................272.3Recurrencerelations.......................312.4PROBLEMS...........................332.5Non{singularmatrices.............
4、.........362.6Leastsquaressolutionofequations...............472.7PROBLEMS...........................493SUBSPACES553.1Introduction............................553.2SubspacesofFn.........................553.3Lineardependence........................583.4Basisofasubs
5、pace........................613.5Rankandnullityofamatrix..................643.6PROBLEMS...........................674DETERMINANTS714.1PROBLEMS...........................85i5COMPLEXNUMBERS895.1Constructingthecomplexnumbers...............895.2Calculatingwithcomple
6、xnumbers...............915.3GeometricrepresentationofC..................955.4Complexconjugate........................965.5Modulusofacomplexnumber.................995.6Argumentofacomplexnumber.................1035.7DeMoivre'stheorem.......................1075.8PR
7、OBLEMS...........................1116EIGENVALUESANDEIGENVECTORS1156.1Motivation............................1156.2De nitionsandexamples.....................1186.3PROBLEMS...........................1247Identifyingseconddegreeequations1297.1Theeigenvaluemethod.....
8、.................1297.2Aclassi cationalgorithm....................1417.3PROBLEMS...........................1478THREE{DIMENSIONALGEOMETRY1498.1Introduction............
