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Beschreibung

1. Matrices andSystems of Equations

1.1 Systems of LinearEquations

1.2 Row Echelon Form

1.3 Matrix Arithmetic

1.4 Matrix Algebra

1.5 ElementaryMatrices

1.6 PartitionedMatrices

MATLAB Exercises

Chapter Test A Trueor False

Chapter Test B

2. Determinants

2.1 The Determinantof a Matrix

2.2 Properties ofDeterminants

2.3 Additional Topicsand Applications

MATLAB Exercises

Chapter Test A Trueor False

Chapter Test B

3. Vector Spaces

3.1 Definition andExamples

3.2 Subspaces

3.3 LinearIndependence

3.4 Basis and Dimension

3.5 Change of Basis

3.6 Row Space andColumn Space

MATLAB Exercises

Chapter Test A Trueor False

Chapter Test B

4. LinearTransformations

4.1 Definition andExamples

4.2 MatrixRepresentations of Linear Transformations

4.3 Similarity

MATLAB Exercises

Chapter Test A Trueor False

Chapter Test B

5. Orthogonality

5.1 The ScalarProduct in Rn

5.2 OrthogonalSubspaces

5.3 Least SquaresProblems

5.4 Inner ProductSpaces

5.5 Orthonormal Sets

5.6 The GramSchmidtOrthogonalization Process

5.7 OrthogonalPolynomials

MATLAB Exercises

Chapter Test A Trueor False

Chapter Test B

6. Eigenvalues

6.1 Eigenvalues andEigenvectors

6.2 Systems of LinearDifferential Equations

6.3 Diagonalization

6.4 HermitianMatrices

6.5 The SingularValue Decomposition

6.6 Quadratic Forms

6.7 Positive DefiniteMatrices

6.8 NonnegativeMatrices

MATLAB Exercises

Chapter Test A Trueor False

Chapter Test B

7. Numerical LinearAlgebra

7.1 Floating-PointNumbers

7.2 GaussianElimination

7.3 Pivoting Strategies

7.4 Matrix Norms andCondition Numbers

7.5 OrthogonalTransformations

7.6 The EigenvalueProblem

7.7 Least SquaresProblems

7.8 Iterative Methods

MATLAB Exercises

Chapter Test A Trueor False

Chapter Test B

8. Canonical Forms

8.1 Nilpotent Operators

8.2 The JordanCanonical Form

Appendix: MATLAB

Bibliography

Answers to SelectedExercises

Index

1. Matrices andSystems of Equations

1.1 Systems of LinearEquations

1.2 Row Echelon Form

1.3 Matrix Arithmetic

1.4 Matrix Algebra

1.5 ElementaryMatrices

1.6 PartitionedMatrices

MATLAB Exercises

Chapter Test A Trueor False

Chapter Test B

2. Determinants

2.1 The Determinantof a Matrix

2.2 Properties ofDeterminants

2.3 Additional Topicsand Applications

MATLAB Exercises

Chapter Test A Trueor False

Chapter Test B

3. Vector Spaces

3.1 Definition andExamples

3.2 Subspaces

3.3 LinearIndependence

3.4 Basis and Dimension

3.5 Change of Basis

3.6 Row Space andColumn Space

MATLAB Exercises

Chapter Test A Trueor False

Chapter Test B

4. LinearTransformations

4.1 Definition andExamples

4.2 MatrixRepresentations of Linear Transformations

4.3 Similarity

MATLAB Exercises

Chapter Test A Trueor False

Chapter Test B

5. Orthogonality

5.1 The ScalarProduct in Rn

5.2 OrthogonalSubspaces

5.3 Least SquaresProblems

5.4 Inner ProductSpaces

5.5 Orthonormal Sets

5.6 The GramSchmidtOrthogonalization Process

5.7 OrthogonalPolynomials

MATLAB Exercises

Chapter Test A Trueor False

Chapter Test B

6. Eigenvalues

6.1 Eigenvalues andEigenvectors

6.2 Systems of LinearDifferential Equations

6.3 Diagonalization

6.4 HermitianMatrices

6.5 The SingularValue Decomposition

6.6 Quadratic Forms

6.7 Positive DefiniteMatrices

6.8 NonnegativeMatrices

MATLAB Exercises

Chapter Test A Trueor False

Chapter Test B

7. Numerical LinearAlgebra

7.1 Floating-PointNumbers

7.2 GaussianElimination

7.3 Pivoting Strategies

7.4 Matrix Norms andCondition Numbers

7.5 OrthogonalTransformations

7.6 The EigenvalueProblem

7.7 Least SquaresProblems

7.8 Iterative Methods

MATLAB Exercises

Chapter Test A Trueor False

Chapter Test B

8. Canonical Forms

8.1 Nilpotent Operators

8.2 The JordanCanonical Form

Appendix: MATLAB

Bibliography

Answers to SelectedExercises

Index

Details
Erscheinungsjahr: 2020
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9781292354866
ISBN-10: 1292354860
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Leon, Steven
Pillis, Lisette
Auflage: 10 ed
Hersteller: Pearson Education Limited
Verantwortliche Person für die EU: preigu, Ansas Meyer, Lengericher Landstr. 19, D-49078 Osnabrück, mail@preigu.de
Maße: 252 x 202 x 21 mm
Von/Mit: Steven Leon (u. a.)
Erscheinungsdatum: 16.11.2020
Gewicht: 0,944 kg
Artikel-ID: 119609297

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