PREFACEiv1MATRICESANDSYSTEMSOFEQUATIONS1SystemsofLinearEquations12RowEchelonForm133MatrixAlgebra334ElementaryMatrices675PartitionedMatrices79MATLABExercises91ChapterTest972DETERMINANTS991TheDeterminantoraMatrix992PropertiesofDeterminants1073Cramer'sRule115MATLABExercises121ChapterTest1233VECTOR-SPACES1251DefinitionandExamples1252Subspaces1343LinearIndependence1444BasisandDimension1565ChangeofBasis1636RowSpaceandColumnSpace174MATLABExercises184ChapterTest1864LINEARTRANSFORMATIONS1881DefinitionandExamples1882MatrixRepresentationsofLinearTransformations1983Similarity212MATLABExercises220ChapterTest2215ORTHOGONALITY2231TheScalarProductinRn2242OrthogonalSubspaces2393LeastSquaresProblems2494InnerProductSpaces2605OrthonormalSets2706TheGram-SchmidtOrthogonalizationProcess2907OrthogonalPolynomials299MATLABExercises307ChapterTest3106EIGENVALUES3121EigenvaluesandEigenvectors3132SystemsofLinearDifferentialEquations3263Diagonalization3394HermitianMatrices3555TheSingularValueDecomposition3676QuadraticForms3827PositiveDefiniteMatrices3978NonnegativeMatrices405MATLABExercises412ChapterTest4217NUMERICALLINEARALGEBRA4221Floating-PointNumbers4232GaussianElimination4273PivotingStrategies4364MatrixNormsandConditionNumbers4425OrthogonalTransformations4586TheEigenvalueProblem4707LeastSquaresProblems482MATLABExercises494ChapterTest503ITERATIVEMETHODS*Web9JORDANCANONICALFORM*WebAPPENDIX:MATLAB505BIBLIOGRAPHY517ANSWERSTOSELECTEDEXERCISES520INDEX540

本书的主要特点：
●通过大量的实际应用说明了线性代数在各个领域中的广泛应用。
●包含许多示例，便于读者理解相关的定义及原理。
●每一节的后面给出大量的习题，各章后面还有测试题，并在本书的*后提供了部分习题的答案。
●每章的后面都有基子MALAB的上机练习，并在附录中提供了MALAB的基础知识。