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Linear algebra and its applications 2nd ed. update

Linear algebra and its applications 2nd ed. update (29회 대출)

자료유형
단행본
개인저자
Lay, David C.
서명 / 저자사항
Linear algebra and its applications / David C. Lay.
판사항
2nd ed. update.
발행사항
Reading, Mass. :   Addison-Wesley,   c2000.  
형태사항
1 v. (various pagings) : ill. ; 24 cm. + 1 computer optical disc (4 3/4 in.).
ISBN
0201347741 0201648458(Instructor's Edition)
서지주기
Includes bibliographical references and index.
일반주제명
Algebras, Linear.
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008 990618s2000 maua b 001 0 eng
010 ▼a 99037547
020 ▼a 0201347741
020 ▼a 0201648458(Instructor's Edition)
040 ▼a DLC ▼c DLC ▼d C#P ▼d 211009
049 1 ▼l 121051125 ▼f 과학
050 0 0 ▼a QA184 ▼b .L397 2000
082 0 0 ▼a 512/.5 ▼2 21
090 ▼a 512.5 ▼b L426L2
100 1 ▼a Lay, David C.
245 1 0 ▼a Linear algebra and its applications / ▼c David C. Lay.
250 ▼a 2nd ed. update.
260 ▼a Reading, Mass. : ▼b Addison-Wesley, ▼c c2000.
300 ▼a 1 v. (various pagings) : ▼b ill. ; ▼c 24 cm. + ▼e 1 computer optical disc (4 3/4 in.).
504 ▼a Includes bibliographical references and index.
538 ▼a System requirements: Windows 95, 98, NT or Macintosh System 7.2; 640x480x256 color display; 28.8 Mhz modem; Internet Explorer 4.0 or Netscape 4.0 (available on CD-ROM); Adobe Acrobat Reader 4.0 (available on CD-ROM); WinZip 7.0 or StuffIt Expander 5.0 (both available on the CD-ROM).
650 0 ▼a Algebras, Linear.

소장정보

No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 과학도서관/Sci-Info(2층서고)/ 청구기호 512.5 L426L2 등록번호 121051125 도서상태 대출가능 반납예정일 예약 서비스 B M

컨텐츠정보

목차


CONTENTS

PREFACE = xiii

A NOTE TO STUDENTS = xix

1 LINEAR EQUATIONS IN LINEAR ALGEBRA = 1

 Introductory Example : Linear Models in Economics and Engineering = 1

 1.1 Systems of Linear Equations = 2

 1.2 Row Reduction and Echelon Forms = 13

 1.3 Vector Equations = 27

 1.4 The Matrix Equation Ax=b = 39

 1.5 Solution Sets of Linear Systems = 48

 1.6 Linear Independence = 58

 1.7 Introduction to Linear Transformations = 66

 1.8 The Matrix of d Linear Transformation = 76

 1.9 Linear Models in Business Science, and Engineering = 85

 Supplementary Exercises = 95

2 MATRIX ALGEBRA = 97

 Introductory Example : Computer Graphics in Automotive Design = 97

 2.1 Matrix Operations = 98

 2.2 The Inverse of a Matrix = 110

 2.3 Characterizations of Invertible Matrices = 120

 2.4 Partitioned Matrices = 125

 2.5 Matrix Factorizations = 133

 2.6 Iterative Solutions of Linear Systems = 143

 2.7 The Leontief Input-Output Mode1 = 148

 2.8 Applications to Computer Graphics = 155

 2.9 Subspaces of $$R^n$$ = 165

 Supplementary Exercises = 177

3 DETERMINANTS = 179

 Introductory Example : Determinants in Analytic Geometry = 179

 3.1 Introduction to Determinants = 180

 3.2 Properties of Determinants = 187

 3.3 Cramer's Rule, Volume, and Linear Transformations = 195

 Supplementary Exercises = 206

4 VECTOR SPACES = 209

 Introductory Example : Space Flight and Control Systems = 209

 4.1 Vector Spaces and Subspaces = 210

 4.2 Null Spaces, Column Spaces, and Linear Transformations = 220

 4.3 Linearly Independent Sets : Bases = 231

 4.4 Coordinate Systems = 240

 4.5 The Dimension of a Vector Space = 250

 4.6 Rank = 257

 4.7 Change of Basis = 265

 4.8 Applications to Difference Equations = 271

 4.9 Applications to Markov Chains = 282

 Supplementary Exercises = 292

5 EIGENVALUES AND EIGENVECTORS = 295

 Introductory Example : Dynamical Systems and Spotted Owls = 295

 5.1 Eigenvectors and Eigenvalues = 296

 5.2 The Characteristic Equation = 305

 5.3 Diagonalization = 313

 5.4 Eigenvectors and Linear Transformations = 321

 5.5 Complex Eigenvalues = 329

 5.6 Discrete Dynamical Systems = 336

 5.7 Applications to Differential Equations = 347

 5.8 Iterative Estimates for Eigenvalues = 357

 Supplementary Exercises = 365

6 ORTHOGONALITY AND LEAST-SQUARES = 367

 Introductory Example : Readjusting the North American Datum = 367

 6.1 Inner Product, Length, and Orthogonality = 369

 6.2 Orthogonal Sets = 378

 6.3 Orthogonal Projections = 389

 6.4 The Gram-Schmidt Process = 397

 6.5 Least-Squares Problems = 404

 6.6 Applications to Linear Models = 414

 6.7 Inner Product Spaces = 422

 6.8 Applications of Inner Product Spaces = 431

 Supplementary Exercises = 439

7 SYMMETRIC MATRICES AND QUADRATIC FORMS = 441

 Introductory Example : Multichannel Image Processing = 441

 7.1 Diagonalization of Symmetric Matrices = 443

 7.2 Quadratic Forms = 450

 7.3 Constrained Optimization = 458

 7.4 The Singular Value Decomposition = 466

 7.5 Applications to Image Processing and Statistics = 477

 Supplementary Exercises = 485

Appendixes

 A Uniqueness of the Reduced Echelon Form = A1

 B Complex Numbers = A3

Glossary = A9

Answers to Odd-Numbered Exercises = A21

Index = I1



관련분야 신착자료

Macdonald, Alan (2021)