Basic Linear Algebra

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Basic Linear Algebra

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Author : T.S. Blyth
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-06-26

Basic Linear Algebra written by T.S. Blyth 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 2002-06-26 with Mathematics categories.

Basic Linear Algebra is a text for first year students leading from concrete examples to abstract theorems, via tutorial-type exercises. More exercises (of the kind a student may expect in examination papers) are grouped at the end of each section. The book covers the most important basics of any first course on linear algebra, explaining the algebra of matrices with applications to analytic geometry, systems of linear equations, difference equations and complex numbers. Linear equations are treated via Hermite normal forms which provides a successful and concrete explanation of the notion of linear independence. Another important highlight is the connection between linear mappings and matrices leading to the change of basis theorem which opens the door to the notion of similarity. This new and revised edition features additional exercises and coverage of Cramer's rule (omitted from the first edition). However, it is the new, extra chapter on computer assistance that will be of particular interest to readers: this will take the form of a tutorial on the use of the "LinearAlgebra" package in MAPLE 7 and will deal with all the aspects of linear algebra developed within the book.

Basic Linear Algebra

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Author : Thomas S. Blyth
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Basic Linear Algebra written by Thomas S. Blyth 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 2013-03-14 with Mathematics categories.

Basic Linear Algebra is a text for first year students, working from concrete examples towards abstract theorems, via tutorial-type exercises. The book explains the algebra of matrices with applications to analytic geometry, systems of linear equations, difference equations, and complex numbers. Linear equations are treated via Hermite normal forms, which provides a successful and concrete explanation of the notion of linear independence. Another highlight is the connection between linear mappings and matrices, leading to the change of basis theorem which opens the door to the notion of similarity. The authors are well known algebraists with considerable experience of teaching introductory courses on linear algebra to students at St Andrews. This book is based on one previously published by Chapman and Hall, but it has been extensively updated to include further explanatory text and fully worked solutions to the exercises that all 1st year students should be able to answer.

Basic Linear Algebra With Applications

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Author : Garfield C. Schmidt
language : en
Publisher:
Release Date : 1980

Basic Linear Algebra With Applications written by Garfield C. Schmidt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.

Basic Linear Algebra

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Author : Gregor Olsavsky
language : en
Publisher:
Release Date : 2006-09

Basic Linear Algebra written by Gregor Olsavsky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09 with Mathematics categories.

This book is an introductory linear algebra text. The topics are covered in the traditional order: linear systems, matrix algebra, vector spaces, linear transformations, orthogonality, and the eigenvalue/eigenvector problem. The book seeks to explain and discover the important concepts of linear algebra using well-chosen examples. Proofs of many important results are done if the proof can be accomplished in a succinct, straightforward fashion. There are over 100 worked-out examples in the text as well as a complete outline of every chapter and extensive review problems which test the students knowledge of the material covered in each chapter. There are over 1200 exercises in the text, which were created by the author with care to include exercises which resemble problems done in the text. Definitions are well marked and theorems are stated as briefly as possible in order to enhance the ability of the student to remember the result. In a slightly novel way, the answers to the odd problems are given directly next to the problem. Applications such as heat transfer, spring/mass systems, population dynamics, and systems of differential equations are sprinkled throughout the text.

Basics Of Linear Algebra

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Author : BILAL AHMAD DAR
language : en
Publisher: Shashwat Publication
Release Date : 2020-12-27

Basics Of Linear Algebra written by BILAL AHMAD DAR and has been published by Shashwat Publication this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-27 with Juvenile Nonfiction categories.

This book intends to develop a sense of understanding towards Linear Algebra. It will introduce a beginner to the basic fundamentals of linear algebra and their properties. The definitions are explained thoroughly and for better understanding various examples have been put forth for each definition. For the practice of students, some examples and results have been kept in each chapter. Important points deduced from theorems are written as remarks for the benefit of students. This book is different from other books because of two main reasons. First, the book contains various solved examples which makes the particular topic more understandable. Second, a number of multiple choice questions/objectives with answer keys are kept for each chapter which will help the students to qualify various competitive examinations. The book consists of six chapters. The first chapter gives a brief introduction of matrices wherein various types of matrices with examples are mentioned. Also, the concept of determinants and adjoint of a matrix are explained briefly along with their properties. The second chapter deals with rank of a matrix, elementary transformations and elementary matrices. An important concept Echelon form of a matrix is mentioned and a method is introduced which explains how to determine rank of a matrix of any order. Third chapter deals with the linear dependence and independence of columns of a matrix and the behavior of matrix equation A X = O . A method is explained which tells how rank of a matrix gives information about the solution of Homogenous and Non-homogenous system of linear equations. Fourth chapter welcomes us with the central concept of linear algebra viz; Eigen values and Eigen vectors of a matrix. Many examples are solved which explains how many linearly independent Eigen vectors exist corresponding to an Eigen value and how to find them all.

Linear Algebra I Basic Concepts

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Author : Kazuo Murota
language : en
Publisher: World Scientific
Release Date : 2022-07-13

Linear Algebra I Basic Concepts written by Kazuo Murota and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-13 with Mathematics categories.

This is the first volume of the two-volume book on linear algebra, in the University of Tokyo (UTokyo) Engineering Course.The objective of this volume is to present, from the engineering viewpoint, the standard mathematical results in linear algebra such as those on systems of equations and eigenvalue problems. In addition to giving mathematical theorems and formulas, it explains how the mathematical concepts such as rank, eigenvalues, and singular values are linked to engineering applications and numerical computations.In particular, the following four aspects are emphasized.

Basic Linear Algebra

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Author : Paul W. Haggard
language : en
Publisher:
Release Date : 1972

Basic Linear Algebra written by Paul W. Haggard and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Algebras, Linear categories.

Basic Linear Algebra Exercises And Solutions

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Author : Mohammed Hichem Mortad
language : en
Publisher: World Scientific
Release Date : 2025-10-15

Basic Linear Algebra Exercises And Solutions written by Mohammed Hichem Mortad and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-10-15 with Mathematics categories.

This book is mainly intended for first-year university students who undertake a basic linear algebra course, as well as instructors. It contains the basic notions of linear algebra through solved exercises as well as a 'True or False' section in each chapter. Each chapter also contains an essential background section, which makes the book easier to use.

Linear Algebra

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Author : Serge Lang
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Linear Algebra written by Serge Lang 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 2013-06-29 with Mathematics categories.

Linear Algebra is intended for a one-term course at the junior or senior level. It begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorems for linear maps, including eigenvectors and eigenvalues, quadric and hermitian forms, diagonalization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form. The book also includes a useful chapter on convex sets and the finite-dimensional Krein-Milman theorem. The presentation is aimed at the student who has already had some exposure to the elementary theory of matrices, determinants, and linear maps. However, the book is logically self-contained. In this new edition, many parts of the book have been rewritten and reorganized, and new exercises have been added.

A First Course In Linear Algebra

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Author : A. G. Hamilton
language : en
Publisher: CUP Archive
Release Date : 1987-09-03

A First Course In Linear Algebra written by A. G. Hamilton and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-09-03 with Mathematics categories.

This is a short, readable introduction to basic linear algebra, as usually encountered in a first course. The development of the subject is integrated with a large number of worked examples that illustrate the ideas and methods. The format of the book, with text and relevant examples on facing pages means that the reader can follow the text uninterrupted. The student should be able to work through the book and learn from it sequentially. Stress is placed on applications of the methods rather than on developing a logical system of theorems. Numerous exercises are provided.