Fler böcker inom
Format
Språk
Engelska
Antal sidor
632
Utgivningsdatum
2013-07-29
Upplaga
2
Förlag
Pearson
Medarbetare
Insel, Arnold J / Friedberg, Stephen H
Dimensioner
276 x 218 x 164 mm
Vikt
1430 g
Antal komponenter
1
ISBN
9781292025032

# Elementary Linear Algebra: Pearson New International Edition

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For a sophomore-level course in Linear Algebra.

Based on the recommendations of the Linear Algebra Curriculum Study Group, this introduction to linear algebra offers a matrix-oriented approach with more emphasis on problem solving and applications. Throughout the text, use of technology is encouraged. The focus is on matrix arithmetic, systems of linear equations, properties of Euclidean n-space, eigenvalues and eigenvectors, and orthogonality. Although matrix-oriented, the text provides a solid coverage of vector spaces

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## Fler böcker av Lawrence E Spence

• ### Linear Algebra: Pearson New International Edition

#### Stephen H Friedberg, Arnold J Insel, Lawrence E Spence

For courses in Advanced Linear Algebra.This top-selling, theorem-proof text presents a careful treatment of the principle topics of linear algebra, and illustrates the power of the subject through a variety of applications. It emphasizes the symbi...

## Innehållsförteckning

PREFACE ix

TO THE STUDENT xv

CHAPTER 1 MATRICES, VECTORS, AND SYSTEMS OF LINEAR EQUATIONS 1

1.1
Matrices and Vectors 1

1.2
Linear Combinations, MatrixVector Products, and Special Matrices 11

1.3
Systems of Linear Equations 25

1.4
Gaussian Elimination 39

1.5*
Applications of Systems of Linear Equations 54

1.6
The Span of a Set of Vectors 64

1.7
Linear Dependence and Linear Independence 73

Chapter 1 Review Exercises

Chapter 1 MATLAB Exercises

CHAPTER 2 MATRICES AND LINEAR TRANSFORMATIONS 90

2.1
Matrix Multiplication 90

2.2*
Applications of Matrix Multiplication 101

2.3
Invertibility and Elementary Matrices 117

2.4
The Inverse of a Matrix 130

2.5*
Partitioned Matrices and Block Multiplication 141

2.6*
The LU Decomposition of a Matrix 147

2.7
Linear Transformations and Matrices 162

2.8
Composition and Invertibility of Linear Transformations 175

Chapter 2 Review Exercises

Chapter 2 MATLAB Exercises

CHAPTER 3 DETERMINANTS 192

3.1
Cofactor Expansion 192

3.2
Properties of Determinants 204

Chapter 3 Review Exercises

Chapter 3 MATLAB Exercises

CHAPTER 4 SUBSPACES AND THEIR PROPERTIES 218

4.1
Subspaces 218

4.2
Basis and Dimension 232

4.3
The Dimension of Subspaces Associated with a Matrix 245

4.4
Coordinate Systems 254

4.5
Matrix Representations of Linear Operators 266

Chapter 4 Review Exercises

Chapter 4 MATLAB Exercises

CHAPTER 5 EIGENVALUES, EIGENVECTORS, AND DIAGONALIZATION 282

5.1
Eigenvalues and Eigenvectors 282

5.2
The Characteristic Polynomial 291

5.3
Diagonalization of Matrices 302

5.4*
Diagonalization of Linear Operators 314

5.5*
Applications of Eigenvalues 323

Chapter 5 Review Exercises

Chapter 5 MATLAB Exercises

...