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Linear Algebra and Its Applications [RENTAL EDITION] by David C. Lay, Judi J. McDonald and Steven R. Lay (Hardcover)
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About this product
Product Identifiers
PublisherPearson Books
ISBN-100135851254
ISBN-139780135851258
eBay Product ID (ePID)19076816915
Product Key Features
TypeTextbook
Number of Pages672 Pages
Publication NameLinear Algebra and Its Applications [Rental Edition]
FormatHardcover
LanguageEnglish
Subject AreaMathematics
SubjectGeneral
AuthorDavid C. Lay, Judi J. McDonald, Steven R. Lay
Dimensions
Item Weight43.9 Oz
Item Length10.3 in
Item Height1.1 in
Item Width8.2 in
Additional Product Features
Edition Number6
LCCN2019-044303
Table Of Content1. Linear Equations in Linear Algebra 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 A x = 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 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 Rn 2.9 Dimension and Rank Projects Supplementary Exercises 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 4. Vector Spaces Introductory Example: Space Flight and 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 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 6. Orthogonality and Least Squares Introductory Example: The North American Datum and GPS Navigation 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 Linear Models 6.7 Inner Product Spaces 6.8 Applications of Inner Product Spaces Projects Supplementary Exercises 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 Image Processing and Statistics Projects Supplementary Exercises 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 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 10. Finite-State Markov Chains (Online Only) Introductory Example: Googling Markov Chains 10.1 Introduction and Examples 10.2 The Steady-State Vector and Google''s PageRank 10.3 Communication Classes 10.4 Classification of States and Periodicity 10.5 The Fundamental Matrix 10.6 Markov Chains and Baseball Statistics Appendices A. Uniqueness of the Reduced Echelon Form B. Complex Numbers
IllustratedYes
SynopsisThis print textbook is available for students to rent for their classes. The Pearson print rental program provides students with affordable access to learning materials, so they come to class ready to succeed. For courses in Linear Algebra. Fosters the concepts and skills students will use in future careers Linear Algebra and Its Applications offers a modern elementary introduction with broad, relevant applications. With traditional texts, the early stages of the course are relatively easy as material is presented in a familiar, concrete setting; but students often hit a wall when abstract concepts are introduced. Certain concepts fundamental to the study of linear algebra (such as linear independence, vector space, and linear transformations) require time to learn-and students' understanding of them is vital. Lay, Lay, and McDonald make these concepts more accessible by introducing them early in a familiar, concrete Rn setting, developing them gradually, and returning to them throughout the text so that students can grasp them when they are discussed in the abstract. Throughout, the 6th Edition updates exercises, adds new applications, takes advantage of improved technology, and offers more support for conceptual learning. Also available with MyLab Math By combining trusted author content with digital tools and a flexible platform, MyLab personalizes the learning experience and improves results for each student. 0135851254 / 9780135851258 LINEAR ALGEBRA AND ITS APPLICATIONS [RENTAL EDITION], 6/e, This print textbook is available for students to rent for their classes. The Pearson print rental program provides students with affordable access to learning materials, so they come to class ready to succeed. For courses in Linear Algebra. Fosters the concepts and skills students will use in future careers Linear Algebra and Its Applications offers a modern elementary introduction with broad, relevant applications. With traditional texts, the early stages of the course are relatively easy as material is presented in a familiar, concrete setting; but students often hit a wall when abstract concepts are introduced. Certain concepts fundamental to the study of linear algebra (such as linear independence, vector space, and linear transformations) require time to learn-and students' understanding of them is vital. Lay, Lay, and McDonald make these concepts more accessible by introducing them early in a familiar, concrete Rn setting, developing them gradually, and returning to them throughout the text so that students can grasp them when they are discussed in the abstract. Throughout, the 6th Edition updates exercises, adds new applications, takes advantage of improved technology, and offers more support for conceptual learning. Also available with MyLab Math By combining trusted author content with digital tools and a flexible platform, MyLab personalizes the learning experience and improves results for each student. 0135851254 / 9780135851258 LINEAR ALGEBRA AND ITS APPLICATIONS RENTAL EDITION], 6/e
LC Classification NumberQA184.2.L39 2021
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