9780134689470

Elementary Linear Algebra (Classic Version)

Arnold Insel, Lawrence E. Spence, Stephen Friedberg

2nd Edition

For a sophomore-level course in Linear Algebra This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit www.pearsonhighered.com/math-classics... for a complete list of titles. Based on the recommendations of the Linear Algebra Curriculum Study Group, this introduction to linear algebra offe

1-1

Matrices and Vectors

Exercises

p.11

1-2

Linear Combinations, Matrix-Vector Products, and Special Matrices

Exercises

p.25

1-3

System of Linear Equations

Exercises

p.38

1-4

Gaussian Elimination

Exercises

p.52

1-5

Applications of System of Linear Equations

Exercises

p.62

1-6

The Span of a Set of Vectors

Exercises

p.72

1-7

Linear Dependence and Linear Independence

Exercises

p.84

Review Exercises

p.87

Matlab Exercises

p.90

2-1

Matrix Multiplication

Exercises

p.104

2-2

Applications of Matrix Multiplication

Exercises

p.117

2-3

Invertibility and Elementary Matrices

Exercises

p.130

2-4

The Inverse of Matrix

Exercises

p.142

2-5

Partitioned Matrices and Block Multiplication

Exercises

p.151

2-6

The Lu Decomposition of a Matrix

Exercises

p.164

2-7

Linear Transformations and Matrices

Exercises

p.175

2-8

Composiition and Invertibility of Linear Transformations

Exercises

p.188

Review Exercises

p.192

Matlab Exercises

p.195

6-1

The Geometry of Vectors

Exercises

p.371

6-2

Orthogonal Vectors

Exercises

p.385

6-3

Orthogonal Projections

Exercises

p.398

6-4

Least-Squares Approximation and Orthogonal Projection Matrices

Exercises

p.409

6-5

Orthogonal Matrices and Operators

Exercises

p.421

6-6

Symmetric Matrices

Exercises

p.435

6-7

Singular Value Decomposition

Exercises

p.452

6-8

Principal Component Analysis

Exercises

p.463

6-9

Rotations of R3 and Computer Graphics

Exercises

p.478

Review Exercises

p.481

Matlab Exercises

p.483