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)
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000 -LEADER | |
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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 |
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 |
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Reference | Main Library | Main Library | Reference | 02/08/2019 | Purchased | 7690.00 | 512.5 MAC | 015888 | Reference Books |