1.MatricesandSystemsofEquations
1SystemsofLinearEquations
2RowEchelonForm.MatrixAlgebra
3ElementaryMatrices.PartitionedMatrices
4MatlabExercises.ChapterTest.
2.Determinants.
1TheDeterminantofaMatrix.
2PropertiesofDeterminants
3Cramer'sRule.MatlabExercises
4ChapterTest
3.VectorSpaces
1DefinitionandExamples.
2Subspaces.LinearIndependence
3BasisandDimension
4ChangeofBasis
5RowSpaceandColumnSpace
6MatlabExercises.ChapterTest
4.LinearTransformations
1DefinitionandExamples
2MatrixRepresentationsofLinearTransformations
3Similarity.MatlabExercises
4ChapterTest.
5.Orthogonality.
1TheScalarProductinRn
2OrthogonalSubspaces
3LeastSquaresProblems
4InnerProductSpaces.OrthonormalSets
5TheGram-SchmidtOrthogonalizationProcess
6OrthogonalPolynomials.MatlabExercises
7ChapterTest.
6.Eigenvalues.
7.NumericalLinearAlgebra.
8.IterativeMethods.
9.JordanCanonicalForm.
Appendix:MATLAB.
Bibliography.
AnswerstoSelectedExercises.
Index.