A Textbook Of Matrix Algebra
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Textbook Of Matrix Algebra
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Author : SUDDHENDU BISWAS
language : en
Publisher: PHI Learning Pvt. Ltd.
Release Date : 2012-08-07
Textbook Of Matrix Algebra written by SUDDHENDU BISWAS and has been published by PHI Learning Pvt. Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-07 with Mathematics categories.
Intended as a text for postgraduate and undergraduate honours students of Statistics, Mathematics, Operations Research as well as students in various branches of Engineering, this student-friendly book gives an indepth analysis of Matrix Algebra and all the major topics related to it. Divided into 12 chapters, the book begins with a discussion on Elements of Matrix Theory and Some Special Matrices. Then it goes on to give a detailed discussion on Scalar Function and Inverse of a Matrix, Rank of a Matrix, Generalized Inverse of a Matrix, and Quadric Forms and Inequalities. The book concludes by giving Some Applications of Algebra of Matrices, Matrices in the Infinite Dimensional Vector Space, and Computational Tracts in Matrices. KEY FEATURES Gives a large number of both solved and unsolved problems of Elementary Matrix. Provides an exhaustive treatment of Generalized Inverse Matrix with many applications in Statistics. Devotes one chapter exclusively to application of Matrices. Provides one full chapter on Matrices in the Infinite Dimensional Vector Space, which will be quite useful for postgraduate students. Gives an Appendix on R Software which will be extremely useful for students of Statistics. Provides Question Bank which will greatly benefit both undergraduate and postgraduate students. This book, which beautifully blends both theory and applications of Matrix Algebra, should prove to be an invaluable text for the students.
A Textbook Of Matrix Algebra
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Author : Biswas Suddhendu
language : en
Publisher:
Release Date : 1997
A Textbook Of Matrix Algebra written by Biswas Suddhendu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.
This Is A Book Of Multilevel Structure; Catering The Need Of Postgraduate (Inclusive Of M.Phil) And Undergraduate Honours Students In The Areas Of Statistics, Mathematics, Operational Research, Engineering And Other Related Disciplines Requiring The Background Of Matrix Algebra. Some Basic Novel Features Of The Book Are As Follows: * A Large Number Of Both Solved And Unsolved Problems On Elementary Matrix Algebra (Like Determination Of Rank, Sweepout Transformation, Calculation On Characteristic Roots And Vectors, Quadratic Forms Etc.) Exclusively For Undergraduate Students. * An Exhaustive Treatment Of Generalised Inverse Matrices With Several Applications In Statistics (Like Least Squares Characteristic Of Moore & Penrose G-Inverse And Extremisation Of Algebraic Forms Under Constraints Using G-Inverse Theory) For Postgraduate As Well As Advanced Level Undergraduate Students. * A Special Chapter Devoted To Application Of Matrices Provides Complete Treatment Of Linear Programming And Markov Chains To Cater The Need Of Students Reading The Paper Of Operational Research In Any Of The Mathematical Or Related Disciplines. * A Full Chapter On Matrices On Infinite Dimensional Spaces (Providing Many Counter Examples In Traditional Matrix Calculus) Is Specially A Topic Added For Postgraduate And Advanced Students Which Has So Far Not Been Available In Any Textbook In This Form. * Another Attraction Of The Book Is Its Exhaustive Question Bank Compiled Both For Elementary And Advanced Level Of Students. * A Chapter Devoted To Computational Tracts In Matrices Providing Illustration For Calculation Procedures Of Linear Equations, Quadratic Forms, Eigenvalues And Eigenvectors And Several Generalised Inverses (Inclusive Of M.P. Inverse).
A Textbook Of Matrices
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Author : Shanti Narayan | PK Mittal
language : en
Publisher: S. Chand Publishing
Release Date : 2010
A Textbook Of Matrices written by Shanti Narayan | PK Mittal and has been published by S. Chand Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
The revised edition of the book fills in the urgent need of a treatise on the fundamental laws of operation with numbers so that the readers can understand points of similarity and difference between the Algebra of Matrices and of numbers. The subject is equally important to mathematical disciplines such as Geometry and Modern Algebra and to sciences. The book provides a well rounded and complete account of important concepts of Group, Ring, Field Isomorphism, Equivalence, Congruence and reduction of real quadratic and Hermitian forms to canonical form. Elementary treatment of Vector spaces and linear independence and dependence of vector systems helps in discussing Ranks of matrices and in formulation of results of a system of equations and characteristic vector of a matrix. Illustration of every idea and theorem with abundant solved examples and lucid language are the unique features of this legendary textbook. It is a must read for Mathematics and Science students of undergraduate programmes. Aspirants trying for competitive examinations will also find the book equally useful.
A Textbook Of Matrix Algebra
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Author : Jayesh M. Dhodiya
language : en
Publisher: Mathematics
Release Date : 2023-05-31
A Textbook Of Matrix Algebra written by Jayesh M. Dhodiya and has been published by Mathematics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-31 with Education categories.
The book covers the core theory and methods of matrix analysis in order to provide a balanced and comprehensive account of matrix algebra.
Matrices And Their Roots
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Author : A. R. G. Heesterman
language : en
Publisher:
Release Date : 1990
Matrices And Their Roots written by A. R. G. Heesterman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.
Matrix Algebra
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Author : James E. Gentle
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-07-27
Matrix Algebra written by James E. Gentle and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-27 with Computers categories.
Matrix algebra is one of the most important areas of mathematics for data analysis and for statistical theory. This much-needed work presents the relevant aspects of the theory of matrix algebra for applications in statistics. It moves on to consider the various types of matrices encountered in statistics, such as projection matrices and positive definite matrices, and describes the special properties of those matrices. Finally, it covers numerical linear algebra, beginning with a discussion of the basics of numerical computations, and following up with accurate and efficient algorithms for factoring matrices, solving linear systems of equations, and extracting eigenvalues and eigenvectors.
Matrix Algebra
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Author : Karim M. Abadir
language : en
Publisher: Cambridge University Press
Release Date : 2005-08-22
Matrix Algebra written by Karim M. Abadir and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-22 with Business & Economics categories.
Matrix Algebra is the first volume of the Econometric Exercises Series. It contains exercises relating to course material in matrix algebra that students are expected to know while enrolled in an (advanced) undergraduate or a postgraduate course in econometrics or statistics. The book contains a comprehensive collection of exercises, all with full answers. But the book is not just a collection of exercises; in fact, it is a textbook, though one that is organized in a completely different manner than the usual textbook. The volume can be used either as a self-contained course in matrix algebra or as a supplementary text.
Provisional Agenda For The 3676th Meeting Of The Security Council To Be Held On Friday 28 June 1996
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Author :
language : en
Publisher:
Release Date : 1996
Provisional Agenda For The 3676th Meeting Of The Security Council To Be Held On Friday 28 June 1996 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
A Textbook Of Matrices
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Author : Hari Kishan
language : en
Publisher: Atlantic Publishers & Dist
Release Date : 2008-11
A Textbook Of Matrices written by Hari Kishan and has been published by Atlantic Publishers & Dist this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11 with Algebras, Linear categories.
Advanced Linear And Matrix Algebra
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Author : Nathaniel Johnston
language : en
Publisher: Springer Nature
Release Date : 2021-05-19
Advanced Linear And Matrix Algebra written by Nathaniel Johnston and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-19 with Mathematics categories.
This textbook emphasizes the interplay between algebra and geometry to motivate the study of advanced linear algebra techniques. Matrices and linear transformations are presented as two sides of the same coin, with their connection motivating inquiry throughout the book. Building on a first course in linear algebra, this book offers readers a deeper understanding of abstract structures, matrix decompositions, multilinearity, and tensors. Concepts draw on concrete examples throughout, offering accessible pathways to advanced techniques. Beginning with a study of vector spaces that includes coordinates, isomorphisms, orthogonality, and projections, the book goes on to focus on matrix decompositions. Numerous decompositions are explored, including the Shur, spectral, singular value, and Jordan decompositions. In each case, the author ties the new technique back to familiar ones, to create a coherent set of tools. Tensors and multilinearity complete the book, with a study of the Kronecker product, multilinear transformations, and tensor products. Throughout, “Extra Topic” sections augment the core content with a wide range of ideas and applications, from the QR and Cholesky decompositions, to matrix-valued linear maps and semidefinite programming. Exercises of all levels accompany each section. Advanced Linear and Matrix Algebra offers students of mathematics, data analysis, and beyond the essential tools and concepts needed for further study. The engaging color presentation and frequent marginal notes showcase the author’s visual approach. A first course in proof-based linear algebra is assumed. An ideal preparation can be found in the author’s companion volume, Introduction to Linear and Matrix Algebra.