Matrices And Transformations
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Matrices And Transformations
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Author : Anthony J. Pettofrezzo
language : en
Publisher: Courier Corporation
Release Date : 2012-05-04
Matrices And Transformations written by Anthony J. Pettofrezzo and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-04 with Mathematics categories.
This book presents an elementary and concrete approach to linear algebra that is both useful and essential for the beginning student and teacher of mathematics. Here are the fundamental concepts of matrix algebra, first in an intuitive framework and then in a more formal manner. A Variety of interpretations and applications of the elements and operations considered are included. In particular, the use of matrices in the study of transformations of the plane is stressed. The purpose of this book is to familiarize the reader with the role of matrices in abstract algebraic systems, and to illustrate its effective use as a mathematical tool in geometry. The first two chapters cover the basic concepts of matrix algebra that are important in the study of physics, statistics, economics, engineering, and mathematics. Matrices are considered as elements of an algebra. The concept of a linear transformation of the plane and the use of matrices in discussing such transformations are illustrated in Chapter #. Some aspects of the algebra of transformations and its relation to the algebra of matrices are included here. The last chapter on eigenvalues and eigenvectors contains material usually not found in an introductory treatment of matrix algebra, including an application of the properties of eigenvalues and eigenvectors to the study of the conics. Considerable attention has been paid throughout to the formulation of precise definitions and statements of theorems. The proofs of most of the theorems are included in detail in this book. Matrices and Transformations assumes only that the reader has some understanding of the basic fundamentals of vector algebra. Pettofrezzo gives numerous illustrative examples, practical applications, and intuitive analogies. There are many instructive exercises with answers to the odd-numbered questions at the back. The exercises range from routine computations to proofs of theorems that extend the theory of the subject. Originally written for a series concerned with the mathematical training of teachers, and tested with hundreds of college students, this book can be used as a class or supplementary text for enrichments programs at the high school level, a one-semester college course, individual study, or for in-service programs.
Matrices And Linear Transformations
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Author : Charles G. Cullen
language : en
Publisher: Courier Corporation
Release Date : 2012-09-20
Matrices And Linear Transformations written by Charles G. Cullen and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-20 with Mathematics categories.
Undergraduate-level introduction to linear algebra and matrix theory. Explores matrices and linear systems, vector spaces, determinants, spectral decomposition, Jordan canonical form, much more. Over 375 problems. Selected answers. 1972 edition.
Introduction To Matrices And Linear Transformations
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Author : Daniel T. Finkbeiner
language : en
Publisher: Courier Corporation
Release Date : 2013-10-21
Introduction To Matrices And Linear Transformations written by Daniel T. Finkbeiner and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-21 with Mathematics categories.
This versatile undergraduate-level text contains enough material for a one-year course and serves as a support text and reference. It combines formal theory and related computational techniques. Solutions to selected exercises. 1978 edition.
Changing Shapes With Matrices
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Author : Donald Cohen
language : en
Publisher: Donald Cohen
Release Date : 1995
Changing Shapes With Matrices written by Donald Cohen and has been published by Donald Cohen this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Matrices categories.
Matrices And Transformations
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Author :
language : en
Publisher:
Release Date : 1985
Matrices And Transformations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Matrices categories.
Linear Transformation
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Author : Nita H. Shah
language : en
Publisher: CRC Press
Release Date : 2020-12-29
Linear Transformation written by Nita H. Shah and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-29 with Mathematics categories.
This book introduces linear transformation and its key results, which have applications in engineering, physics, and various branches of mathematics. Linear transformation is a difficult subject for students. This concise text provides an in-depth overview of linear trans-formation. It provides multiple-choice questions, covers enough examples for the reader to gain a clear understanding, and includes exact methods with specific shortcuts to reach solutions for particular problems. Research scholars and students working in the fields of engineering, physics, and different branches of mathematics need to learn the concepts of linear transformation to solve their problems. This book will serve their need instead of having to use the more complex texts that contain more concepts then needed. The chapters mainly discuss the definition of linear transformation, properties of linear transformation, linear operators, composition of two or more linear transformations, kernels and range of linear transformation, inverse transformation, one-to-one and onto transformation, isomorphism, matrix linear transformation, and similarity of two matrices.
Jacobians Of Matrix Transformation And Functions Of Matrix Arguments
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Author : Arak M Mathai
language : en
Publisher: World Scientific Publishing Company
Release Date : 1997-10-31
Jacobians Of Matrix Transformation And Functions Of Matrix Arguments written by Arak M Mathai and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-10-31 with Mathematics categories.
This book concentrates on the topic of evaluation of Jacobians in some specific linear as well as nonlinear matrix transformations, in the real and complex cases, which are widely applied in the statistical, physical, engineering, biological and social sciences. It aims to develop some techniques systematically so that anyone with a little exposure to multivariable calculus can easily follow the steps and understand the various methods by which the Jacobians in complicated matrix transformations are evaluated. The material is developed slowly, with lots of worked examples, aimed at self-study. Some exercises are also given, at the end of each section.The book is a valuable reference for statisticians, engineers, physicists, econometricians, applied mathematicians and people working in many other areas. It can be used for a one-semester graduate level course on Jacobians and functions of matrix argument.
Matrices And Transformations
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Author : M. R. Heylings
language : en
Publisher:
Release Date : 1984
Matrices And Transformations written by M. R. Heylings and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Transformations (Mathematics) categories.
Introduction To Matrices And Linear Transformations
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Author : Daniel T. Finkbeiner
language : en
Publisher: Courier Corporation
Release Date : 2011-01-01
Introduction To Matrices And Linear Transformations written by Daniel T. Finkbeiner and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-01 with Mathematics categories.
This versatile undergraduate text can be used in a variety of courses in linear algebra. It contains enough material for a one-year course, and it also serves as a support text and reference. A combination of formal theory and related computational techniques, it includes solutions to selected exercises. 1978 edition.
Matrices And Linear Transformations
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Author : Charles G. Cullen
language : en
Publisher:
Release Date : 1966
Matrices And Linear Transformations written by Charles G. Cullen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Matrices categories.