线性代数及其应用 答案 学习指导 David C Lay

所需积分/C币:38 2018-11-18 16:42:00 103.63MB PDF
16
收藏 收藏
举报

英文版;暂时没有中文的,但是英文比较简单,一看就懂。
Brief contents INTRODUCTION HOW TO STUDY LINEAR ALGEBRA CHAPTER 1 LINEAR EQUATIONS IN LINEAR ALGEBRA CHAPTER 2 MATRIX ALGEBRA CHAPTER 3 DETERMINANTS CHAPTER 4 VECTOR SPACES CHAPTER 5 EIGENVALUES AND EIGENVECTORS CHAPTER 6 ORTHOGONALITY AND LEAST SQUARES CHAPTER SYMMETRIC MATRICES APPENdICEs TECHNOLOGY INDEX OF PROCEDURES AND TERMS INTRODUCTION TO MATLAB NOTES FOR THE MAPLE COMPUTER ALGEBRA SYSTEM NOTES FOR THE MATHEMATICA COMPUTER ALGEBRA SYSTEM NOTES FOR THE TI-83+/86/89 GRAPHIC CALCULATORS NOTES FOR THE HP-48G GRAPHIC CALCULATOR Copyright 2006 Pearson Addison-Wesley. All rights reserved Contents INTRODUCTION VIl Technology Supportⅶi Review materials on the web viii HOW TO STUDY LINEAR ALGEBRA ix Strategies for Success in Linear Algebra ix cHAPTER I LINEAR EQUATIONS IN LINEAR ALGEBRA Systems of Linear systems 1-1 2 Row Reduction and echelon forms 1-7 .3 Vector Equations 1-10_ 1. 4 The Matrix Equation Ax=b 1-15 Mastering Linear Algebra Concepts: Span 5 Solution sets of linear systems 1-20 6 Applications of Linear Systems 1-25 7 Linear Independence 1-29 Mastering Linear Algebra Concepts: Linear Independence 1. 8 Introduction to Linear Transformations 1-33 Mastering Linear Algebra Concepts: Linear Transformation Matrix of a linear transformation 1-37 Mastering Linear Algebra Concepts: Existence and Uniqueness 1. 10 Linear models in business. Science and engineering 1-42 Supplementary exercises 1-46 Glossary checklist 1-47 Copyright 2006 Pearson Addison-Wesley. All rights reserved CHAPTER 2 MATRIX ALGEBRA 1 Matrix Operations 2-1 2.3 Characterizations of Invertible Matrices 2-9 Expanded Table for the IMT 2-10 Mastering Linear Algebra Concepts: Reviewing and Reflecting 2.4 Partitioned Matrices 2-14 The Principles of Induction 2-20 2.5 Matrix Factorizations 2-20 Permuted LU Factorizations 2-24 2. 6 The Leontief Input-Qutput ModeL 2-2& 2.7 Applications to Computer Graphics 2-30 2.sUbspaces of R" 2-33 sterns oncepts: Subspace Column Space NulL Space Basis. 2.9 Dimension and rank 2-38 Expanded Table for the IM Mastering Linear Algebra Concepts: Dimension and Rank Supplementary Exercises 242. Glossary Checklist 2-42 chapteR 3 DETERMINANTS 3.1 Introduction to Determinants 3-1 3.2 Properties of Determinants 3-5 3.3 Cramer's rule, Volume and linear transformations 3-8 a Geometric proof 3-12 Glossary Checklist 3-13 CHAPTER 4 VECTOR SPACES Null Spaces, Column Spaces, and Linear Transformations 4-4 Copyright g 2006 Pearson Addison-Wesley. All rights reserved Mastering Linear Algebra Concepts: Vector Space, Subspace, Col A and Nul a 4.3 Linearly Independent sets: Bases 4-7 Mastering Linear Algebra concents: Basis 4.4Coordinate Systems 4-11 Isomorphic vector Spaces 4-12 4.5 The Dimension of a vector Space 4-16 4.6Rank4-19 Expanded Table for the IMT 4-21 Mastering Linear Algebra Concepts: Major Review of Key Concepts 4.7 Change of basis 4-24 4.8 Applications to Difference Equations 4-27 The Casorati Test 4-31 4.9 Applications to Markov Chains 4-32 Glossary Checklist 4-35 cHAPTER 5 EIGENVALUES AND EIGENVECTORS 5.1 Eigenvectors and eigenvalues 5-1 2 The Characteristic Equation 5. Factoring a polynomial 5-8 5.3D lization 5-9 Mastering Linear Algebra Concepts: Eigenvalue, Eigenvector Eigenspace 5.4 Eigenvalues and Linear Transformations 5.16 5.5 Complex Eigenvalues 5-19 5.6 Discrete Dynamical Systems 5-22 5.7 Applications to Differential Equations_ _5-26- 5.8 Iterative estimates for eigenvalues 5.29 Glossary Checklist 5-34 chaPTER 6 ORTHOGONALITY AND LEAST SQUARES 6.1 Inner Product Length and Orthogonality 6-1 6.oRthogonal Sets 6-2 Mastering Linear Algebra Concepts Orthogonal Basis Copyright 2006 Pearson Addison-Wesley. All rights reserved 6.3 Orthogonal Projections 6-5 6. 4 The Gram-Schmidt Process 6-9 6.5 Least-Squares Problems 6-12 6.6 Applications to Linear Models 6-16 he geometry of a line el6-19 6.7 Inner Product Spaces 6-20 6.8 Applications of Inner Product Spaces 6-22 The Linearity of an Orthoganal Proiection 6-25 Glossary Checklist 6-26 CHAPTER T SYMMETRIC MATRICES 7.1 Diagonalization of Symmetric Matrices 7-1 7.2 Quadratic Forms 7-6 Mastering Linear Algebra Concepts: Diagonalization and Quadratic Forms 7.3 Constrained Optimization 7-8 7.4 The Singular Value Decomposition 7-10 Computing an SVD 7-11 7.5 Applications to image Processing and Statistics 7-16 Supplementary Exercises 7-19 Glossary checklist 7-19 APPENDICES TECHNOLOGY INDEX OF PROCEDURES AND TERMS Technology Index of Procedures and Terms TECH-I INTRODUCTION TO MATLAB Getting Started with matlab ML-1 cript m-Files ML-3 Index of matlab Commands ML-5 Copyright 2006 Pearson Addison-Wesley. All rights reserved NOTES FOR THE MAPLE COMPUTER ALGEBRA SYSTEM Getting started with mapl Study guide Notes MP-4 ndex of Maple Commands MP-22 NOTES FOR THE MATHEMATICA COMPUTER ALGEBRA SYSTEM Getting Started with Mathematica MM-1 Study guide Notes MM-5 Index of mathematica commands MM-24 NOTES FOR THE TI-83+/86 /89 GRAPHIC CALCULATORS Getting Started with a TI-83+ Calculator TI-1 Getting Started with a TI-86 Calculator TI-2 Getting Started with a TI-89 Calculator TI-3 Study guide Notes TI4 Index of TI Calculator Commands T1-29 NOTES FOR THE HP-48G GRAPHIC CALCULATOR Getting Started with an hP-48G Calculator HP-1 Study guide Notes HP-2 Index of hp calculator commands hP-18 Copyright 2006 Pearson Addison-Wesley. All rights reserved L Brief Table of Contents[h Table of Contents Introduction This Study Guide is designed to help you succeed in your linear algebra course. It shows you how to study mathematics, to learn new material, and to prepare effective review sheets for tests. Key Ideas and Study Notes guide you through each section, with summaries of important ideas and tables that connect related ideas. Detailed solu tions to hundreds of exercises (usually every third odd exercise) allow you to check your work or help you get started on a difficult problem. Also, complete explanations are provided for each writing exercise whose answer in the text is only a"Hint " Study Tips point out important exercises, give hints about what to study, and sometimes high light potential exam questions. Frequent Warnings identify common student errors Dont ever take an exam without reviewing these warnings! The most important material in this Study Guide is on pages ix and x of this intro duction. Students who follow the strategies in How to Study Linear Algebra invariably achieve remarkable results in this course. You can be one of those students TECHNOLOGY SUPPORT If you are using technology with your course, you will need this Study Guide, Besides its valuable support for the course material, the Guide includes"Lab Manuals"for three com- puter programs and four graphic calculators. Everything you need to know about using this technology with your text is here. New commands are introduced gradually, and detailed instructions are given for their use, Also, data for more than 850 exercises from the text are stored in electronic files for each type of technology. You'lI save hours of time and avoid errors in typing. The files also contain special programs that reinforce basic concepts in the course. If your class is using MATLAB, Maple, or Mathematica, your files are probably already loaded on the school computer system or in specified labs. If you are using a TI 834, TI-86, TI-89, or HP-48G, your instructor may have plans to download the files to your calculator. In any case, you can always download the files yourself from the Web site: http:/www.laylinalgebra.com A ReadMe file with each data set describes how to incorporate the data into your soft- ware or load it into your calculator. The files on the Web will always reflect the latest versions available Special MATLAB boxes at the ends of many Study Guide sections explain how to use maTLAB for your homework, introducing simple commands as they are needed for the exercises. The first appendix at the back of the Guide contains a quick intro duction, Getting Started with MATLAB, and an index of MATLAB commands I courage you to try matLAB--it is easy to learn Copyright 2006 Pearson Addison-Wesley. All rights reserved E Brief Table of Contents Et Table of Contents VIll INTRODUCTIoN Notes for the Maple and Mathematica computer algebra systems and for the TI-83+/86/89 and HP-48G graphic calculators are included in the last four appendices to this Study Guide. The notes correspond to the MATLAB boxes and translate MAT LAB commands into syntax appropriate for the other technologies. Each set of notes has its own index. Whenever you see a MATLAB box in this Guide, turn to the appro priate appendix for help with your technology The following faculty members wrote the notes and developed the special pro grams Maple Douglas Meade, University of South Carolina, Columbia, SC Mathematica Lyle Cochran, Whitworth College, Spokane, WA TI-83+/86/89 Michael Miller, Western Baptist College, Salem, OR HP-48G Thomas W. Polaski, Winthrop University, Rock Hill, SC Also, Professor Jeremy Case, of Taylor University, Marion, IN, helped with the data and other materials involving MATLAB. These colleagues have given good advice based on teaching with our text and Study Guide. I appreciate their contributions to this revision of the study guide REVIEW MATERIALS ON THE WEB In addition to the help in this Study Guide, I have provided some material on the Web that my students really appreciate-review sheets and practice exams. Please heed the advice below, because using these study aids in the wrong way can lead to a disaster at exam time. I suggest four steps to prepare for each exam 1. Assemble a review sheet. The Web review sheets reflect what I emphasize in my courses. If possible, you need to find out what your instructor expects of you. The three courses on the Web material vary somewhat in their content and approach and they organize the material differently. To construct a review sheet for one of our exams, you may need to combine parts of two sheets from the Web. Try to complete an initial review for an exam a day or two early. Hard to do, but worth the effort. Don' t read the sample exams! Studying from an old exam is a big mistake. Instead, study your lecture notes, looking for items that were emphasized in class. Read over your homework and old quizzes. I insist that my students learn key definitions, practically word for word. If they cannot write a definition prop- erly, they dont know what they are writing about 3. After the review, take the sample exam whose subject material most closely fits what your exam will cover. Find a quiet place and time when you can work the entire exam without stopping, and without looking at the text or your notes (Of course, skip any questions that are inappropriate for your course)Write your answers. Time yourself 4. Finally, after you have completed the test, look at the solutions. Identify the areas that need further review. If possible, find an example in the text related to an area in which you are weak. Cover up the solution to the example and try to write out the solution yourself. Peek, if necessary. Don't be reluctant to ask for help Copyright 2006 Pearson Addison-Wesley. All rights reserved

...展开详情
试读 127P 线性代数及其应用 答案 学习指导 David C Lay
立即下载 低至0.43元/次 身份认证VIP会员低至7折
一个资源只可评论一次,评论内容不能少于5个字
Javy Wang 这是第三版的答案,只有前七章,第七章不包括二次型,清晰度一般,可以看清出
2019-04-29
回复
  • 分享精英

    成功上传11个资源即可获取
关注 私信 TA的资源
上传资源赚积分or赚钱
    最新推荐
    线性代数及其应用 答案 学习指导 David C Lay 38积分/C币 立即下载
    1/127
    线性代数及其应用 答案 学习指导 David C Lay第1页
    线性代数及其应用 答案 学习指导 David C Lay第2页
    线性代数及其应用 答案 学习指导 David C Lay第3页
    线性代数及其应用 答案 学习指导 David C Lay第4页
    线性代数及其应用 答案 学习指导 David C Lay第5页
    线性代数及其应用 答案 学习指导 David C Lay第6页
    线性代数及其应用 答案 学习指导 David C Lay第7页
    线性代数及其应用 答案 学习指导 David C Lay第8页
    线性代数及其应用 答案 学习指导 David C Lay第9页
    线性代数及其应用 答案 学习指导 David C Lay第10页
    线性代数及其应用 答案 学习指导 David C Lay第11页
    线性代数及其应用 答案 学习指导 David C Lay第12页
    线性代数及其应用 答案 学习指导 David C Lay第13页
    线性代数及其应用 答案 学习指导 David C Lay第14页
    线性代数及其应用 答案 学习指导 David C Lay第15页
    线性代数及其应用 答案 学习指导 David C Lay第16页
    线性代数及其应用 答案 学习指导 David C Lay第17页
    线性代数及其应用 答案 学习指导 David C Lay第18页
    线性代数及其应用 答案 学习指导 David C Lay第19页
    线性代数及其应用 答案 学习指导 David C Lay第20页

    试读结束, 可继续阅读

    38积分/C币 立即下载 >