Theory of Matrices. (Record no. 95219)
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| fixed length control field | 05221nam a22004453i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3440197 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729125753.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2012 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781781830529 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9781906574901 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3440197 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3440197 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11094597 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)919481093 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA188 -- .V387 2013eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.9434 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Vatsa, B.S. |
| 245 10 - TITLE STATEMENT | |
| Title | Theory of Matrices. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 4th ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Tunbridge Wells : |
| Name of producer, publisher, distributor, manufacturer | New Academic Science, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2012. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2013. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (333 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Cover -- Preface -- Contents -- Chapter 1 Matrices -- 1.1 Definition and Examples of a Matrix -- 1.2 Diagonal, Scalar,Unit, And Triangular Matrix -- 1.3 Equal and Unequal Matrices -- 1.4 The Transpose of a Matrix: Symmetric and Skew-Symmetric -- 1.5 The Conjugate of a Matrix: Hermitian and Skew-Hermitian Matrices -- 1.6 Submatrics -- Submatrices -- Chapter 2 Algebra of Matrices -- 2.1 Addition of Two Matrices -- 2.2 Properties of Addition -- 2.3 Scalar Multiples of Matrices -- 2.4 Multiplication of Matrices -- 2.5 The Properties of Matrix Multiplication -- 2.6 Powers of Matrices: Laws of Exponents -- 2.7. Idempotent, Nilpotent, Involutory, Orthogonal And Unitary Matrices -- Chapter 3 Determinants -- 3.1 Definition -- 3.2 Minors and Cofactors -- 3.3 Properties of Determinants -- 3.4 Laplace's Expansions -- 3.5 Symmetric and Skew-Symmetric Determinant -- 3.6 Product of Two Determinants -- 3.7 Reciprocal Determinant -- Chapter 4 Adjoint and Inverse of a Matrix -- 4.1 Definition and Examples -- 4.2 Inverse of a Matrix -- 4.3 Linear Computations -- 4.4 Partitioning of Matrices -- Chapter 5 Rank and Equivalence -- 5.1 The Concept of a Rank -- 5.2 Elementary Transformations -- 5.3 Equivalent Matrices -- 5.4 Elementary Matrices -- 5.5 Normal Form -- 5.6 Elementary Transformation by Matrix Multiplication -- 5.7 Computation of The Inverse of Matrix by Elementary Transformation -- Chapter 6 Linear Equations -- 6.1 System of Linear Equations and Consistency -- 6.2 Solution of n Linear Equations In n Unknowns -- 6.3 Solution of m Linear Equations In n Unknowns With m < -- n and m > -- n -- 6.4 Homogeneous Linear Equations -- Chapter 7 Vector Spaces and Linear Transformations -- 7.1 Definition of a Vector and Vector Spaces -- 7.2 Vector Space Spanned by a Given System of Vectors -- 7.3 Linearly Dependent and Linearly Independent System of Vectors. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 7.4 Basis and Dimension -- 7.5 Subspace -- 7.6 Row and Column Space of a Matrix -- 7.7 Linear Transformations -- 7.8 Operators on Vnn -- 7.9 Geometric Transformation -- 7.10 Geometric Properties of Plane Linear Transformation -- 7.11 Rotation -- 7.12 Reflection -- 7.13 Expansions and Compressions -- 7.14 Shears -- 7.15 Translation -- 7.16 Successive Transformations -- 7.17 Inverse Transformation -- Chapter 8 Characteristic Roots and Vectors of a Matrix -- 8.1 Definition and Examples -- 8.2 Properties of The Characteristic Polynomial -- 8.3 Application of the Cayley-Hamilton Theorem In Finding Out The Inverse of a Non-Singular Matrix -- 8.4 The Minimum Polynomial of a Matrix -- 8.5 Characteristic Roots and Vectors of a Square Matrix -- 8.6 Characteristic Roots of Polynomial Function of a Matrix A -- 8.7 Characteristic Roots of Special Matrices -- 8.8 The Diagonal Form of a Hermitian Matrix -- Chapter 9 Bilinear Forms -- 9.1 Bilinear Forms -- 9.2 The Equivalence of Bilinear Forms -- 9.3 Types of Bilinear Forms -- 9.4 Cogredient Transformations -- 9.5 Contragredient Transformations -- Chapter 10 Quadratic Forms -- 10.1 Quadratic Forms -- 10.2 Linear Transformation -- 10.3 Reduction of Real Quadratic Form to Normal (or Canonical) Form -- 10.4 Lagrange's Reduction -- 10.5 Regular Quadratic Forms -- 10.6 Kronecker's Method of Reduction -- 10.7 Sylvester's Law of Inertia of Quadratic Forms -- 10.8 Definite, Semi-Definite and Indefinite Real Quadratic Forms -- 10.9 Definite Matrices -- 10.10 A Necessary and Sufficient Condition for Positive Definiteness -- Chapter 11 Hermitian Forms -- 11.1 Hermitian Forms -- 11.2 Definite Hermitian Form -- Chapter 12 Similar Matrices -- 12.1 Similar Matrices -- 12.2 Diagonal Matrices -- Answers to Problems -- Index. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Matrices. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Vatsa, Suchi. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Vatsa, B.S. |
| Title | Theory of Matrices |
| Place, publisher, and date of publication | Tunbridge Wells : New Academic Science,c2012 |
| International Standard Book Number | 9781906574901 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3440197">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3440197</a> |
| Public note | Click to View |
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