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
SynopsisMyLab Math 18-Week Access Card to accompany Lay/Lay/McDonald, Linear Algebra and Its Applications, 6/e This item is an access card for MyLab(TM) Math. This physical access card includes an access code for your MyLab Math course. In order to access the online course you will also need a Course ID, provided by your instructor. This title-specific access card provides access to the Lay/Lay/McDonald, Linear Algebra and Its Applications 6/e accompanying MyLab course ONLY. 0135851157 / 9780135851159 MYLAB MATH WITH PEARSON ETEXT -- ACCESS CARD -- FOR LINEAR ALGEBRA AND ITS APPLICATIONS (18-WEEKS), 6/e MyLab Math is the world's leading online tutorial, and assessment program designed to help you learn and succeed in your mathematics course. MyLab Math online courses are created to accompany one of Pearson's best-selling math textbooks. Every MyLab Math course includes a complete, interactive eText. Learn more about MyLab Math. ALERT: Before you purchase, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. Used or rental books If you rent or purchase a used book with an access code, the access code may have been redeemed previously and you may have to purchase a new access code. Access codes Access codes that are purchased from sellers other than Pearson carry a higher risk of being either the wrong ISBN or a previously redeemed code. Check with the seller prior to purchase., MyLab Math 18-Week Access Card to accompany Lay/Lay/McDonald, Linear Algebra and Its Applications, 6/e This item is an access card for MyLab(tm) Math. This physical access card includes an access code for your MyLab Math course. In order to access the online course you will also need a Course ID, provided by your instructor. This title-specific access card provides access to the Lay/Lay/McDonald, Linear Algebra and Its Applications 6/e accompanying MyLab course ONLY. 0135851157 / 9780135851159 MYLAB MATH WITH PEARSON ETEXT -- ACCESS CARD -- FOR LINEAR ALGEBRA AND ITS APPLICATIONS (18-WEEKS), 6/e MyLab Math is the world's leading online tutorial, and assessment program designed to help you learn and succeed in your mathematics course. MyLab Math online courses are created to accompany one of Pearson's best-selling math textbooks. Every MyLab Math course includes a complete, interactive eText. Learn more about MyLab Math. ALERT: Before you purchase, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. Used or rental books If you rent or purchase a used book with an access code, the access code may have been redeemed previously and you may have to purchase a new access code. Access codes Access codes that are purchased from sellers other than Pearson carry a higher risk of being either the wrong ISBN or a previously redeemed code. Check with the seller prior to purchase., For courses in Linear Algebra. This is the 18-week access card for MyLab Math. Fosters the concepts and skills needed for 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 assimilate - and students' understanding of them is vital. Lay, Lay, and McDonald make these concepts more accessible by introducing them early in a familiar, concrete R n setting, developing them gradually, and returning to them throughout the text so that students can grasp them when they are discussed in the abstract. The 6th Edition offers exciting new material, examples, and online resources, along with new topics, vignettes, and applications. Reach every student with MyLab Math MyLab(tm) Math is the teaching and learning platform that empowers you to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student. Learn more about MyLab Math.