Student study guide, Linear algebra and its applications, fifth edition, David C. Lay, University of Maryland, Steven R. Lay, Lee University, Judi J. McDonald, Washington State University (Record no. 44678)

MARC details
000 -LEADER
fixed length control field 04310nam a22002057a 4500
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9780321982575
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 0321982576
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.5
Item number MAC
100 ## - MAIN ENTRY--AUTHOR NAME
Personal name McDonald, Judith
245 ## - TITLE STATEMENT
Title Student study guide, Linear algebra and its applications, fifth edition, David C. Lay, University of Maryland, Steven R. Lay, Lee University, Judi J. McDonald, Washington State University
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication Boston :
Name of publisher Pearson,
Year of publication [2016] ©2016
300 ## - PHYSICAL DESCRIPTION
Number of Pages various pagination
Other physical details illustrations ;
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note ch. 1. Linear Equations in Linear Algebra --<br/>1.1. Systems of Linear Equations --<br/>1.2. Row Reduction and Echelon Forms --<br/>1.3. Vector Equations --<br/>1.4. The Matrix Equations Ax=b --<br/>1.5. Solution Sets of Linear Systems --<br/>1.6. Applications of Linear Systems --<br/>1.7. Linear Independence --<br/>1.8. Introduction to Linear Transformations --<br/>1.9. Matrix of a Linear Transformation --<br/>1.10. Linear Models in Business, Science, and Engineering --<br/>Supplementary Exercises --<br/>Glossary Checklist --<br/>ch. 2. Matrix Algebra --<br/>2.1. Matrix Operations --<br/>2.2. The Inverse of a Matrix --<br/>2.3. Characterization of Invertible Matrices --<br/>2.4. Partitioned Matrices --<br/>2.5. Matrix Factorizations --<br/>2.6. The Leontief Input-Output Model --<br/>2.7. Applications to Computer Graphics --<br/>2.8. Subspaces of Rn --<br/>2.9. Dimension and Rank --<br/>Supplementary Exercises --<br/>Glossary Checklist --<br/>ch. 3. Determinants --<br/>3.1. Introduction to Determinants --<br/>3.2. Properties of Determinants --<br/>3.3. Cramer's Rule, Volume and Linear Transformations --<br/>Glossary Checklist --<br/>ch. 4. Vector Spaces --<br/>4.1. Vector Spaces and Subspaces --<br/>4.2. Null Spaces, Column Spaces, and Linear Transformations --<br/>4.3. Linearly Independent Sets; Bases --<br/>4.4. Coordinate Systems --<br/>4.5. The Dimension of a Vector Space --<br/>4.6. Rank --<br/>4.7. Change of Basis --<br/>4.8. Applications to Difference Equations --<br/>4.9. Applications to Markov Chains --<br/>Glossary Checklist --<br/>ch. 5. Eigenvalues and Eigenvectors --<br/>5.1. Eigenvectors and Eigenvalues --<br/>5.2. The Characteristic Equation --<br/>5.3. Diagonalization --<br/>5.4. Eigenvectors and Linear Transformations --<br/>5.5.Complex Eigenvalues --<br/>5.6. Discrete Dynamical Systems --<br/>5.7. Applications to Differential Equations --<br/>5.8. Iterative Estimates for Eigenvalues --<br/>Glossary Checklist --<br/>ch. 6. Orthogonality and Least Squares --<br/>6.1. Inner Product, Length, and Orthogonality --<br/>6.2. Orthogonal Sets --<br/>6.3. Orthogonal Projections --<br/>6.4. The Gram-Schmidt Process --<br/>6.5. Least-Squares Problems --<br/>6.6. Applications to Linear Models --<br/>6.7. Inner Product Spaces --<br/>6.8. Applications of Inner Product Spaces --<br/>Glossary Checklist --<br/>ch. 7. Symmetric Matrices and Quadratic Forms --<br/>7.1. Diagonalization of Symmetric Matrices --<br/>7.2. Quadratic Forms --<br/>7.3. Constrained Optimization --<br/>7.4. The Singular Value Decomposition --<br/>7.5. Applications to Image Processing and Statistics --<br/>Supplementary Exercises --<br/>Glossary Checklist --<br/>ch. 8. The Geometry of Vector Spaces --<br/>8.1. Affine Combinations --<br/>8.2. Affine Independence --<br/>8.3. Convex Combinations --<br/>8.4. Hyperplanes --<br/>8.5. Polytopes --<br/>8.6. Curves and Surfaces --<br/>Glossary Checklist --<br/>TECHNOLOGY INDEX OF PROCEDURES AND TERMS --<br/>APPENDICES --<br/>Introduction TO MATLAB --<br/>Getting Started With Matlab --<br/>Script M-Files --<br/>Index of Matlab Commands --<br/>Notes For the Maple Computer Algebra System --<br/>Getting Started With Maple --<br/>Study Guide Notes --<br/>Index of Maple Commands --<br/>Notes For the Mathematica Computer Algebra System --<br/>Getting Started With Mathematica --<br/>Study Guide Notes --<br/>Index of Mathematica Commands --<br/>Notes For the TI-83+/84+/89 Graphic Calculators --<br/>Getting Started with a TI-83+ Calculator --<br/>Getting Started with a TI-84+ Calculator --<br/>Getting Started with a TI-89 Calculator --<br/>Study Guide Notes --<br/>Index of TI-84 Family Commands --Index of TI-89 Commands.
520 ## - SUMMARY, ETC.
Summary, etc An integral part of this text, the Study Guide incorporates detailed solutions to every third odd-numbered exercise, as well as solutions to every odd-numbered writing exercise for which the main text only provides a hint.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Algebras, Linear -- Study guides.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Algebras, Linear.
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Lay, Steven R
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Lay, David C
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Reference Books
Holdings
Collection code Home library Current library Shelving location Date acquired Source of acquisition Cost, normal purchase price Full call number Accession Number Koha item type
Reference Main Library Main Library Reference 02/08/2019 Purchased 7690.00 512.5 MAC 015888 Reference Books

© University of Vavuniya

---