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For sophomore-level orjunior/senior-level first courses in linear algebra; assumes calculus as aprerequisite.
A thorough and accessibleintroduction to linear algebra.
The new 10thEdition of Linear Algebra with Applications continuesto encourage a challenging and broad understanding of the subject. For thisedition, Steven LeonGÇöone of the leading figures in the use of technology forlinear algebraGÇöis joined by new co-author Lisette de Pillis of Harvey MuddCollege, who brings her passion for teaching and solving real-world problems tothis revision.
Each chapter contains integratedworked examples, practical applications, computer exercises, and chapter tests. The important roles played by geometry and visualization in understandinglinear algebra are emphasized.
For sophomore-level orjunior/senior-level first courses in linear algebra; assumes calculus as aprerequisite.
A thorough and accessibleintroduction to linear algebra.
The new 10thEdition of Linear Algebra with Applications continuesto encourage a challenging and broad understanding of the subject. For thisedition, Steven LeonGÇöone of the leading figures in the use of technology forlinear algebraGÇöis joined by new co-author Lisette de Pillis of Harvey MuddCollege, who brings her passion for teaching and solving real-world problems tothis revision.
Each chapter contains integratedworked examples, practical applications, computer exercises, and chapter tests. The important roles played by geometry and visualization in understandinglinear algebra are emphasized.
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
| Erscheinungsjahr: | 2020 |
|---|---|
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: | Kartoniert / Broschiert |
| ISBN-13: | 9781292354866 |
| ISBN-10: | 1292354860 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Pillis, Lisette
Leon, Steven |
| Auflage: | 10. Auflage |
| Hersteller: | Pearson Education Limited |
| Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
| Maße: | 252 x 202 x 21 mm |
| Von/Mit: | Lisette Pillis (u. a.) |
| Erscheinungsdatum: | 16.11.2020 |
| Gewicht: | 0,944 kg |
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
| Erscheinungsjahr: | 2020 |
|---|---|
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: | Kartoniert / Broschiert |
| ISBN-13: | 9781292354866 |
| ISBN-10: | 1292354860 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Pillis, Lisette
Leon, Steven |
| Auflage: | 10. Auflage |
| Hersteller: | Pearson Education Limited |
| Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
| Maße: | 252 x 202 x 21 mm |
| Von/Mit: | Lisette Pillis (u. a.) |
| Erscheinungsdatum: | 16.11.2020 |
| Gewicht: | 0,944 kg |
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