Name: Linear Algebra and Its Applications, Global Edition By David Lay
SKU: 9781292351216
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Linear Algebra and Its Applications, Global Edition Summary

Linear Algebra and Its Applications, Global Edition by David Lay

For courses in Linear Algebra. Fosters the concepts and skillsneeded for future careers Linear Algebra and ItsApplications offers a modern elementary introduction with broad, relevantapplications. With traditional texts, the early stages of the course arerelatively easy as material is presented in a familiar, concrete setting, butstudents often hit a wall when abstract concepts are introduced. Certainconcepts fundamental to the study of linear algebra (such as linearindependence, vector space, and linear transformations) require time toassimilate - and students' understanding of them is vital. Lay, Lay, and McDonald make theseconcepts more accessible by introducing them early in a familiar, concrete n setting, developing them gradually, and returning to themthroughout the text so that students can grasp them when they are discussed inthe abstract. The 6th Edition offers exciting new material, examples,and online resources, along with new topics, vignettes, and applications.

About David Lay

David C. Lay, University of Maryland-College Park Steven R. Lay, Lee University Judi J. McDonald, Washington State University

About the Authors Preface A Note to Students Chapter 1 Linear Equations in LinearAlgebra Introductory Example: Linear Models in Economics and Engineering 1.1 Systems of Linear Equations 1.2 Row Reduction and Echelon Forms 1.3 Vector Equations 1.4 The Matrix Equation Ax= b 1.5 Solution Sets of Linear Systems 1.6 Applications of Linear Systems 1.7 Linear Independence 1.8 Introduction to Linear Transformations 1.9 The Matrix of a Linear Transformation 1.10 Linear Models in Business,Science, and Engineering Projects Supplementary Exercises Chapter 2 Matrix Algebra Introductory Example: Computer Models in Aircraft Design 2.1 Matrix Operations 2.2 The Inverse of a Matrix 2.3 Characterizations of Invertible Matrices 2.4 Partitioned Matrices 2.5 Matrix Factorizations 2.6 The Leontief Input-Output Model 2.7 Applications to Computer Graphics 2.8 Subspaces of n 2.9 Dimension and Rank Projects Supplementary Exercises Chapter 3 Determinants Introductory Example: Random Paths and Distortion 3.1 Introduction to Determinants 3.2 Properties of Determinants 3.3 Cramer's Rule, Volume, and Linear Transformations Projects Supplementary Exercises Chapter 4 Vector Spaces Introductory Example: Space Flightand Control Systems 4.1 Vector Spaces and Subspaces 4.2 Null Spaces, Column Spaces,and Linear Transformations 4.3 Linearly Independent Sets; Bases 4.4 Coordinate Systems 4.5 The Dimension of a Vector Space 4.6 Change of Basis 4.7 Digital Signal Processing 4.8 Applications to Difference Equations Projects Supplementary Exercises Chapter 5 Eigenvalues and Eigenvectors Introductory Example: Dynamical Systems and Spotted Owls 5.1 Eigenvectors and Eigenvalues 5.2 The Characteristic Equation 5.3 Diagonalization 5.4 Eigenvectors and Linear Transformations 5.5 Complex Eigenvalues 5.6 Discrete Dynamical Systems 5.7 Applications to Differential Equations 5.8 Iterative Estimates for Eigenvalues 5.9 Markov Chains Projects Supplementary Exercises Chapter 6 Orthogonality and Least Squares Introductory Example: Artificial Intelligence and Machine Learning 6.1 Inner Product, Length, and Orthogonality 6.2 Orthogonal Sets 6.3 Orthogonal Projections 6.4 The Gram-Schmidt Process 6.5 Least-Squares Problems 6.6 Machine Learning and LinearModels 6.7 Inner Product Spaces 6.8 Applications of Inner Product Spaces Projects Supplementary Exercises Chapter 7 Symmetric Matrices and Quadratic Forms Introductory Example: Multichannel Image Processing 7.1 Diagonalization of Symmetric Matrices 7.2 Quadratic Forms 7.3 Constrained Optimization 7.4 The Singular Value Decomposition 7.5 Applications to ImageProcessing and Statistics Projects Supplementary Exercises Chapter 8 The Geometry of Vector Spaces Introductory Example: The Platonic Solids 8.1 Affine Combinations 8.2 Affine Independence 8.3 Convex Combinations 8.4 Hyperplanes 8.5 Polytopes 8.6 Curves and Surfaces Projects Supplementary Exercises Chapter 9 Optimization Introductory Example: The Berlin Airlift 9.1 Matrix Games 9.2 Linear Programming-Geometric Method 9.3 Linear Programming-Simplex Method 9.4 Duality Projects Supplementary Exercises Chapter 10 Finite-State Markov Chains(Online Only) Introductory Example: Googling Markov Chains 10.1 Introduction and Examples 10.2 The Steady-State Vector andGoogle's PageRank 10.3 Communication Classes 10.4 Classification of States andPeriodicity 10.5 The Fundamental Matrix 10.6 Markov Chains and BaseballStatistics Appendixes Uniqueness of the Reduced Echelon Form Complex Numbers Credits Glossary Answers to Odd-Numbered Exercises Index

Additional information

Sku

NGR9781292351216

ISBN 13

9781292351216

ISBN 10

1292351217

Title

Linear Algebra and Its Applications, Global Edition by David Lay

Author

David Lay

Condition

New

Binding type

Paperback

Publisher

Pearson Education Limited

Year published

2021-07-21

Number of pages

672

Prizes

N/A

Cover note

Book picture is for illustrative purposes only, actual binding, cover or edition may vary.

Note

This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time

Linear Algebra and Its Applications, Global Edition David Lay

Linear Algebra and Its Applications, Global Edition by David Lay

Summary

Linear Algebra and Its Applications, Global Edition Summary

Linear Algebra and Its Applications, Global Edition by David Lay

About David Lay

Table of Contents

Additional information

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