Steven Leon, Lisette Pillis

Linear Algebra with Applications, Global Edition

• Broschiertes Buch

Produktbeschreibung

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.

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Produktdetails

• Verlag: Pearson Education Limited
• 10 ed
• Seitenzahl: 560
• Erscheinungstermin: 16. November 2020
• Englisch
• Abmessung: 252mm x 202mm x 21mm
• Gewicht: 1190g
• ISBN-13: 9781292354866
• ISBN-10: 1292354860
• Artikelnr.: 61103176

Inhaltsangabe

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