Linear algebra : (Record no. 381)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03836cam a22002414a 4500 |
| 001 - CONTROL NUMBER | |
| control field | 1512 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200821092717.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 021002s2004 caua 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0534409156 (student ed. : acidfree paper) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0534420885 (CDROM) |
| 022 ## - INTERNATIONAL STANDARD SERIAL NUMBER | |
| International Standard Serial Number | 9789812542687 |
| 040 ## - CATALOGING SOURCE | |
| Transcribing agency | DLC |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512/.5 |
| Edition number | 22 |
| Item number | J254 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Jain, S. K. |
| 245 10 - TITLE STATEMENT | |
| Title | Linear algebra : |
| Remainder of title | an interactive approach / |
| Statement of responsibility, etc | S.K. Jain, A.D. Gunawardena. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | Belmont, CA : |
| Name of publisher, distributor, etc | Thompson-Brooks/Cole, |
| Date of publication, distribution, etc | c2004 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xiv, 418 p. |
| Other physical details | ill. (some col.) ; |
| Dimensions | 25 cm. + |
| Accompanying material | 1 CD-ROM (4 3/4 in.) |
| 500 ## - GENERAL NOTE | |
| General note | Includes index. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Algebras, Linear. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Gunawardena, Ananda. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Books |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Linear Systems and Matrices 1<br/><br/>1.1 Linear Systems of Equations 1<br/>1.2 Elementary Operations and Gauss Elimination Method 5<br/>1.3 Homogeneous Linear Systems 11<br/>1.4 Introduction to Matrices and the Matrix of a Linear System 16<br/>1.5 Elementary Row Operations on a Matrix 21<br/>1.6 Proofs of Facts 28<br/>1.7 Chapter Review Questions and Project 29<br/><br/> Algebra of Matrices 33<br/><br/>2.1 Scalar Multiplication and Addition of Matrices 33<br/>2.2 Matrix Multiplication and Its Properties 38<br/>2.3 Transpose 49<br/>2.4 Proofs of Facts 52<br/>2.5 Chapter Review Questions and Projects 55<br/><br/> Subspaces 61<br/><br/>3.1 Linear Combination of Vectors 61<br/>3.2 Vector Subspaces 66<br/>3.3 Linear Dependence, Linear Independence, and Basis 75<br/>3.4 Proofs of Facts 84<br/>3.5 Chapter Review Questions and Project 87<br/><br/> Rank 91<br/><br/>4.1 Elementary Operations and Rank 91<br/>4.2 Null Space and Nullity of a Matrix 97<br/>4.3 Elementary Matrices 103<br/>4.4 Proofs of Facts 108<br/>4.5 Chapter Review Questions and Project 111<br/><br/> Inverse, Rank Factorization, and LU-Decomposition 115<br/><br/>5.1 Inverse of a Matrix and Its Properties 115<br/>5.2 Further Properties of Inverses 121<br/>5.3 Full-Rank Factorization 122<br/><br/><br/><br/><br/><br/>5.4 LU-Decomposition of a Matrix 126<br/>5.5 Proofs of Facts 129<br/>5.6 Chapter Review Questions and Projects 130<br/><br/> Determinants 133<br/><br/>6.1 Determinant 133<br/>6.2 Properties of the Determinant 139<br/>6.3 Cofactors and Inverse of a Matrix 143<br/>6.4 Cramer's Rule 146<br/>6.5 Chapter Review Questions and Projects 148<br/><br/> Eigenvalue Problems 151<br/><br/>7.1 Eigenvalues and Eigenvectors 151<br/>7.2 Characteristic Polynomial 152<br/>7.3 Calculating Eigenvalues and Eigenvectors (Another Approach) and<br/> The Cayley-Hamilton Theorem 159<br/>7.4 Applications of the Cayley-Hamilton Theorem 165<br/>7.5 Properties of Eigenvalues, Diagonalizability,<br/> And Triangularizability 173<br/>7.6 Proofs of Facts 179<br/>7.7 Chapter Review Questions and Projects 183<br/><br/> Inner Product Spaces 187<br/><br/>8.1 Gram-Schmidt Orthogonalization Process 187<br/>8.2 Diagonalization of Symmetric Matrices 193<br/>8.3 Application of the Spectral Theorem 200<br/>8.4 Least-Squares Solution 202<br/>8.5 Generalized Inverse and Least-Squares Solution 209<br/>8.6 Proofs of Facts 212<br/>8.7 Chapter Review Questions and Projects 215<br/><br/> Vector Spaces and Linear Mappings 221<br/><br/>9.1 Vector Spaces 221<br/>9.2 Linear Dependence and Linear Independence 225<br/>9.3 Linear Mappings 226<br/>9.4 Some Properties of Linear Mappings: Image and Kernel 233<br/>9.5 Linear Mappings and Matrices 238<br/>9.6 Chapter Review Questions and Projects 243<br/><br/><br/><br/><br/> Determinants (Revisited) 247<br/><br/>10.1 Permutations 247<br/>10.2 Determinants 251<br/>10.3 Cofactor Expansion 257<br/>10.4 Adjoint of a Matrix 261<br/>10.5 Cramer's Rule 263<br/>10.6 Product Theorem of Determinants 264<br/><br/>Answers and Hints to Selected Exercises 269<br/>Drill Solutions Using Matlab 299<br/>Some Basic Matlab Operations 399<br/>Index 413<br/><br/> |
| Withdrawn status | Damaged status | Not for loan | Home library | Current library | Date acquired | Source of acquisition | Full call number | Barcode | Date last seen | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|
| UE-Central Library | UE-Central Library | 04.06.2018 | U.E. | 512.5 J254 | T1512 | 26.10.2020 | 04.06.2018 | Books |
