1. Linear Algebra - Wikipedia, The Free Encyclopedia linear algebra is the branch of mathematics concerned with the study of vectors, vector spaces (also called linear spaces), linear maps (also called linear http://en.wikipedia.org/wiki/Linear_algebra

Linear algebra From Wikipedia, the free encyclopedia Jump to: navigation search Linear algebra is the branch of mathematics concerned with the study of vectors vector spaces (also called linear spaces linear maps (also called linear transformations ), and systems of linear equations . Vector spaces are a central theme in modern mathematics ; thus, linear algebra is widely used in both abstract algebra and functional analysis . Linear algebra also has a concrete representation in analytic geometry and it is generalized in operator theory . It has extensive applications in the natural sciences and the social sciences , since nonlinear models can often be approximated by linear ones. Contents History Elementary introduction Some useful theorems Generalisations and related topics ... edit History The history of modern linear algebra dates back to the early 1840's. In 1843, William Rowan Hamilton introduced quaternions , which describe mechanics in three-dimensional space. In 1844, Hermann Grassmann published his book Die lineale Ausdehnungslehre (see References).

2. A Free Linear Algebra Text By Jim Hefferon. Free download in PDF and TeX source code. Covers the material of an undergraduate first linear algebra course. http://joshua.smcvt.edu/linearalgebra/

Linear Algebra by Jim Hefferon Mathematics Saint Michael's College Colchester, Vermont USA 05439 This text Linear Algebra is free for downloading. It covers an undergraduate first course, with a prerequisite of Calculus I. You can use it either as a main text, or as a supplement to another text, or for independent study. A separate file with all answers, fully worked, is also freely downloadable. What's Linear Algebra about? When I started teaching this subject I found three kinds of texts. There were applications books that avoid proofs and cover the linear algebra only as needed for their applications. There were advanced books that assume that students can understand their elegant proofs and know how to answer the homework questions having seen only one or two examples. And, there were books that spend a good part of the semester multiplying matrices and computing determinants and then suddenly change level to working with definitions and proofs. In my classroom each of these types was a problem. The applications were interesting but I wanted to focus on the linear algebra. The advanced books were beautiful but my students were not ready for them. And the level-switching books resulted in a lot of grief: students estimated that these were like calculus books, where there is material labelled `proof' that can skipped in favor of computations, and when the level switched no amount of prompting by me could convince them otherwise.

3. ELEMENTARY LINEAR ALGEBRA Elementary linear algebra by Keith Matthews. Lecture notes and solutions from 1991 in PDF or PostScript. http://www.numbertheory.org/book/

Elementary Linear Algebra (Lecture Notes by Keith Matthews CMAT : An exact arithmetic matrix calculator program Preface Title Page/Contents (pages 0, i-iv) pdf version of book Chapter 1: Linear Equations (pages 1-21) Chapter 2: Matrices (pages 23-54) Chapter 3: Subspaces (pages 55-70) Chapter 4: Determinants (pages 71-88) Chapter 5: Complex Numbers (pages 89-114) Chapter 6: Eigenvalues and Eigenvectors (pages 115-128) Chapter 7: Identifying Second Degree Equations (pages 129-148) Chapter 8: Three-dimensional Geometry (pages 149-187) Further Reading/Bibliography (pages 189,191-193) Index (pages 194-196) Corrections Solutions to Elementary Linear Algebra (Prepared by Keith Matthews, 1991) Title Page/Contents (pages 0/i) pdf version of the solutions (437K - best read with zoom in) Problems 1.6: Linear Equations (pages 1-11) Problems 2.4: Matrices (pages 12-17) Problems 2.7: Matrices (pages 18-31) Problems 3.6: Subspaces (pages 32-44) Problems 4.1: Determinants (pages 45-57) Problems 5.8: Complex Numbers (pages 58-68) Problems 6.3: Eigenvalues and Eigenvectors

4. MIT OpenCourseWare | Mathematics | 18.06 Linear Algebra, Spring 2005 | Home Basic subject on matrix theory and linear algebra, emphasizing topics useful in other disciplines, including systems of equations, vector spaces, http://ocw.mit.edu/OcwWeb/Mathematics/18-06Spring-2005/CourseHome/

skip to content Home Courses Donate ... Mathematics Linear Algebra 18.06 Linear Algebra Spring 2005 These windows in Philadelphia represent a beautiful block matrix. (Photo courtesy Gail Corbett. Used with permission.) Course Highlights This course features a complete set of video lectures by Professor Gilbert Strang. There are also Java applets with sound as well as interactive Java applets . The text for this class is Introduction to Linear Algebra by Gilbert Strang. Course Description This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices. Special Features Complete video lectures Video tutorial Technical Requirements Postscript viewer software, such as Ghostscript/Ghostview , can be used to view the .ps files found on this course site. is required to run the .rm files found on this course site. *Some translations represent previous versions of courses. Staff Instructor: Prof. Gilbert Strang

5. Linear Algebra linear algebra. by WWL Chen. This set of notes has been compiled over a period of some 25 years. Some chapters were used in various forms and on many http://www.maths.mq.edu.au/~wchen/lnlafolder/lnla.html

Linear Algebra by WWL Chen This set of notes has been compiled over a period of some 25 years. Some chapters were used in various forms and on many occasions between 1981 and 1990 by the author at Imperial College, University of London. The remaining chapters were written in Sydney. All 12 chapters have been in use at Macquarie University since 1997. The material has been organized in such a way to create a single volume suitable for use in the algebra half of the units MATH135, MATH136, MATH132, MATH133 and MATH235 at Macquarie University. The following is the suggested order for the presentation of the material: MATH135 and MATH132: Chapters 1, 2, 3 and 4. MATH136 and MATH133: Chapters 5, 6 and 7. Chapters 8, 9, 10, 11 and 12. To read the notes, click the chapters below for connection to the appropriate PDF files. You will need Adobe Acrobat Reader Version 4.0 or later. The material is available free to all individuals, on the understanding that it is not to be used for financial gains, and may be downloaded and/or photocopied, with or without permission from the author. However, the documents may not be kept on any information storage and retrieval system without permission from the author, unless such system is not accessible to any individuals other than its owners. Chapter 1: LINEAR EQUATIONS (last uploaded on 28 February 2006) Introduction Elementary Row Operations Row Echelon Form Reduced Row Echelon Form Solving a System of Linear Equations Homogeneous Systems Application to Network Flow

6. Course 18.06: Linear Algebra linear algebra and Music (pdf) This fascinating article, with MATLAB codes for music and for telephone tones and for recovering answering machine http://web.mit.edu/18.06/

Course 18.06: Linear Algebra The URL for this page is http://web.mit.edu/18.06/www . Click on the link above to get there, or wait a few seconds to be redirected there automatically.

7. Linear Algebra Toolkit This linear algebra Toolkit is comprised of the modules listed below. Each module is designed to help a linear algebra student learn and practice a basic http://www.math.odu.edu/~bogacki/cgi-bin/lat.cgi

Linear Algebra Toolkit - Main Page v. 1.23a This Linear Algebra Toolkit is comprised of the modules listed below . Each module is designed to help a linear algebra student learn and practice a basic linear algebra procedure, such as Gauss-Jordan reduction, calculating the determinant, or checking for linear independence. Click here for additional information on the toolkit. MODULES Systems of linear equations and matrices Row operation calculator Interactively perform a sequence of elementary row operations on the given m x n matrix A. Transforming a matrix to row echelon form Find a matrix in row echelon form that is row equivalent to the given m x n matrix A. Transforming a matrix to reduced row echelon form Find the matrix in reduced row echelon form that is row equivalent to the given m x n matrix A. Solving a linear system of equations Solve the given linear system of m equations in n unknowns. Calculating the inverse using row operations Find (if possible) the inverse of the given n x n matrix A. Determinants Calculating the determinant using row operations Calculate the determinant of the given n x n matrix A.

8. Math Forum: Linear Algebra The best Internet resources for linear algebra classroom materials, software, Internet projects, and public forums for discussion. http://mathforum.org/linear/linear.html

Linear Algebra Back to Math by Subject Math by Subject K12 Topics algebra arithmetic calculus discrete math geometry pre-calculus prob/stat Advanced Topics analysis calculus diff. equations game theory discrete math geometry (coll.) geometry (adv.) linear algebra modern algebra num. analysis Linear Algebra - Internet Resources See also the Math Forum's Internet Mathematics Library: Linear Algebra Classroom materials for teachers and students Selected linear algebra Internet resources for the classroom including activities and interactive resources. Software for linear algebra Publicly available software and publishers online. Internet projects Activities for students and lovers of linear algebra. Public forums Mailing lists and newsgroups sponsored by the Forum and others where mathematicians,teachers, and students trade ideas about linear algebra. Home The Math Library Quick Reference Search ... Help http://mathforum.org/ The Math Forum is a research and educational enterprise of the Drexel School of Education

9. A First Course In Linear Algebra (A Free Textbook) A First Course in linear algebra is an introductory textbook aimed at collegelevel sophomores and juniors. Typically such a student will have taken http://linear.ups.edu/

A First Course in Linear Algebra The linear algebra textbook with freedom Home About Download Online Viewing Course Adoption ... PDFcast There is now a page about Course Adoption A First Course in Linear Algebra is an introductory textbook aimed at college-level sophomores and juniors. Typically such a student will have taken calculus, but this is not a prerequisite. The book begins with systems of linear equations, then covers matrix algebra, before taking up finite-dimensional vector spaces in full generality. The final chapter covers matrix representations of linear transformations, through diagonalization, change of basis and Jordan canonical form. Along the way, determinants and eigenvalues get fair time. PDF versions are available to download for printing or on-screen viewing, an online version is available, and physical copies may be purchased from the print-on-demand service at Lulu.com It seems therefore desirable to give permanent form to the lessons of experience so that others can benefit by them and be encouraged to undertake similar work. H.M. Cundy and A.P. Rollet, Mathematical Models, 1952

10. Linear Algebra -- From Wolfram MathWorld linear algebra is the study of linear sets of equations and their transformation properties. linear algebra allows the analysis of rotations in space, http://mathworld.wolfram.com/LinearAlgebra.html

Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Ring Theory Linear Algebra Linear algebra is the study of linear sets of equations and their transformation properties. Linear algebra allows the analysis of rotations in space, least squares fitting , solution of coupled differential equations, determination of a circle passing through three given points, as well as many other problems in mathematics, physics, and engineering. Confusingly, linear algebra is not actually an algebra in the technical sense of the word "algebra" (i.e., a vector space over a field , and so on). The matrix and determinant are extremely useful tools of linear algebra. One central problem of linear algebra is the solution of the matrix equation for . While this can, in theory, be solved using a matrix inverse other techniques such as Gaussian elimination are numerically more robust. In addition to being used to describe the study of linear sets of equations, the term "linear algebra" is also used to describe a particular type of algebra. In particular, a linear algebra over a field has the structure of a ring with all the usual axioms for an inner addition and an inner multiplication together with distributive laws, therefore giving it more structure than a ring. A linear algebra also admits an outer operation of multiplication by scalars (that are elements of the underlying field

11. Mathematics Archives - Topics In Mathematics - Linear Algebra KEYWORDS Course materials, lecture notes, linear functions, linear algebra review, orthonormal vectors and QR factorization, leastsquares methods, http://archives.math.utk.edu/topics/linearAlgebra.html

Topics in Mathematics AMS's Materials Organized by Mathematical Subject Classification ADD. KEYWORDS: Electronic Journals, Preprints, Web Sites, Databases AMS's Materials Organized by Mathematical Subject Classification ADD. KEYWORDS: Electronic Journals, Preprints, Web Sites, Databases ATLAST Project Forum ADD. KEYWORDS: Matlab, Software, Computer Exercises, Lesson Plans, Workshops Applied Linear Algebra ADD. KEYWORDS: Course materials, .Matrix Multiplication, Solutions of Linear Equations, Extensions from single variable to several, Positive definite quadratic forms, Diagonalization and quadratic forms, Linear programming, Functions of matrices and differential equations, Economic input-output models, Zero divisors, nilpotent and idempotent matrices, Linear statistical models, Markov chains, Determinants SOURCE: Xavier University TECHNOLOGY: Adobe Acrobat PDF reader Bibliography about MATLAB, the On-Line Matrix Laboratory Bibliography on Matrix Computations Calculus WWW-server ADD. KEYWORDS: Course Materials, Maple, Matlab, Projects, Applications

12. Lineaaralgebra Alused Singular Value Decomposition and Numeric Stability Taylor Development Strict Estimations Applications of linear algebra to differential equations http://www.cs.ut.ee/~toomas_l/linalg/

13. FREELY AVAILABLE SOFTWARE FOR Software for highperformance computers available in source form for problems in numerical linear algebra, specifically dense, sparse direct and iterative http://www.netlib.org/utk/people/JackDongarra/la-sw.html

FREELY AVAILABLE SOFTWARE FOR LINEAR ALGEBRA ON THE WEB (September 2006) Here is a list of freely available software for the solution of linear algebra problems. The interest is in software for high-performance computers that's available in “open source” form on the web for solving problems in numerical linear algebra, specifically dense, sparse direct and iterative systems and sparse iterative eigenvalue problems. Please let me know about updates and corrections. Additional pointers to software can be found at: http://www.nhse.org/rib/repositories/nhse/catalog/#Numerical_Programs_and_Routines A survey of Iterative Linear System Solver Packages can be found at: http://www.netlib.org/utk/papers/iterative-survey/ Thanks, Jack and Alfredo Software Package License Support Type Language Mode Dense Sparse Direct Sparse Iterative Sparse Eigenvalue SUPPORT ROUTINES Real Complex c c++ Seq Dist SPD Gen SPD Gen Sym Gen ATLAS BSD like yes X X X X X X BLAS PD yes X X X X X X FLAME LGPL yes X X X X X X LINALG MTL OSI yes X X X X NEWMAT yes X X X X NIST S-BLAS yes X X X X X SparseLib yes X X X X X Trilinos/Epetra LGPL yes X X X X X M X Trilinos/Tpetra LGPL yes Trilinos/Teuchos ... yes X X X X M uBLAS yes X X X X X X DIRECT SOLVERS Real Complex c c++ Seq Dist SPD Gen SPD Gen Sym Gen FLAME LGPL yes X X X X X X LAPACK BSD yes X X X X X X BSD yes X X X X NAPACK BSD yes X X X X X X PLAPACK yes X X X X M X PRISM no X X X M X ScaLAPACK BSD yes X X X X M/P X Trilinos/Pliris LGPL yes X X X X M X SPARSE DIRECT SOLVERS Real Complex c c++ Seq Dist SPD Gen SPD Gen Sym Gen DSCPACK yes X X X M X HSL yes X X X X X X MFACT yes X X X M X MUMPS PD yes X X X X X M X X PSPASES yes X X X M X SPARSE X X X X X X SPOOLES PD X X X X M X X SuperLU Own yes X X X X X M X TAUCS Own yes X X X X X X X

14. Elements Of Abstract And Linear Algebra By Edwin H. Connell An online textbook on abstract algebra with emphasis on linear algebra. http://www.math.miami.edu/~ec/book/

Elements of Abstract and Linear Algebra Edwin H. Connell This is a foundational textbook on abstract algebra with emphasis on linear algebra. You may download parts of the book or the entire textbook. It is provided free online in PDF DVI postscript , and gzipped postscript. Please read some words from the author first. Join the revolution in education! Write a supplement to this book and put it online. Participate in and contribute to a forum on abstract and linear algebra. Ask questions, give answers, and make comments in a worldwide classroom with the internet as blackboard. [March 20, 2004] The entire book Introduction Outline Chapter 1: Background and Fundamentals of Mathematics Chapter 2: Groups Chapter 3: Rings Chapter 4: Matrices and Matrix Rings Chapter 5: Linear Algebra Chapter 6: Appendix Index Please send comments to Edwin H. Connell Web page created by Dmitry Gokhman

15. Linear Algebra: An Introduction To Linear Algebra For Pre-Calculus Students This book is an introduction to linear algebra for precalculus students. It is a stand-alone unit in the sense that no prior knowledge of matrices is http://ceee.rice.edu/Books/LA/

Linear Algebra An Introduction to Linear Algebra for Pre-Calculus Students by Tamara Anthony Carter Lecturer in Mathematics, University of North Texas Richard A. Tapia Noah Harding Professor, Computational and Applied Mathematics Director, Center for Excellence and Equity in Education Anne Papakonstantinou Director, Rice University School Mathematics Project Publications CEEE Home Rice Home Send comments on material to Tamara Carter These pages are maintained by Hilena Vargas hvargas@rice.edu Updated: August 10, 2000

16. Pauls Online Notes : Linear Algebra Here are my online notes for my linear algebra course that I teach here at Lamar University . Despite the fact that these are my “class notes” they should http://tutorial.math.lamar.edu/Classes/LinAlg/LinAlg.aspx

MPBodyInit('LinAlg_files') Paul's Online Math Notes Online Notes / Linear Algebra You can navigate through this E-Book using the menu to the left. For E-Books that have a Chapter/Section organization each option in the menu to the left indicates a chapter and will open a menu showing the sections in that chapter. Alternatively, you can navigate to the next/previous section or chapter by clicking the links in the boxes at the very top and bottom of the material. Also, depending upon the E-Book, it will be possible to download the complete E-Book, the chapter containing the current section and/or the current section. You can do this be clicking on the E-Book Chapter , and/or the Section link provided below. For those pages with mathematics on them you can, in most cases, enlarge the mathematics portion by clicking on the equation. Click the enlarged version to hide it. E-Book Systems of Equations and Matrices Linear Algebra (Math 2318) Here are my online notes for my Linear Algebra course that I teach here at Lamar University .  Despite the fact that these are my “class notes” they should be accessible to anyone wanting to learn Linear Algebra or needing a refresher.  These notes do assume that the reader has a good working knowledge of basic Algebra.  This set of notes is fairly self contained but there is enough Algebra type problems (arithmetic and occasionally solving equations) that can show up that not having a good background in Algebra can cause the occasional problem.

17. Linear Algebra Matrices, linear equations, inverse, linear algebra, overdetermined systems, eigenvalues and eigenvectors, LU and QR factors, determinant, adjoint, http://www.numericalmathematics.com/linear_algebra.htm

HOME Math Software Register Your Software Numerical Methods ... Thinkers Only Software Linear Algebra Functions Ordinary Differential Equations Systems of Nonlinear Equations ... Support Software Numerical Methods: Integration and Differentiation Solution of Equations Maxima and Minima Approximation of Functions ... Decimal Comma/Decimal Point Enter your search terms Submit search form Web www.numericalmathematics.com LINEAR ALGEBRA performs computations associated with real matrices, including solution of linear systems of equations (even least squares solution of over-determined or inconsistent systems and solution by LU factors), matrix operations (add, subtract, multiply), finding the determinant, trace, inverse, adjoint, QR and LU factors, eigenvalues and eigenvectors, establish the definiteness of a symmetric matrix, perform scalar multiplication, transposition, shift, create matrices of zeroes or ones, identity, symmetric or general matrices. Upon registering, you will receive by email a liberation key which will remove the registration reminder and the time limitation. You will be entitled to one year of free updates. Click here to download LINEAR ALGEBRA Requirements: Windows 98 or later AWARDS Click here to download LINEAR ALGEBRA Requirements: Windows 98 or later LINEAR ALGEBRA performs the following tasks: Add – Finds the sum of two matrices.

18. Linear Algebra And Applications Textbook I believe that the teaching of linear algebra should incorporate this new perspective. My own experience ranges from pure mathematician (my first research http://www.math.unl.edu/~tshores1/linalgtext.html

Home Schedule Teaching Research ... Contact Me Linear Algebra and Applications Textbook Welcome again. In order to enable prospective users to preview my text easily and conveniently, in the past I have put a copy of it on the web for your perusal. In the last few years I've received many helpful comments and appreciative notes for having done so. I would like to thank those of you who sent me these notes and comments. You have helped me substantially improve the text. I am now under contract with Springer-Verlag and the book has been published in their Undergraduate Texts in Mathematics series in hardbound and, more recently, soft cover editions. Therefore, I have removed the on-line copy. I will leave the table of contents below for informational purposes, along with errata sheets for the each version of the textbook. A few comments: If you have any suggestions or comments, drop me a line. I appreciate any feedback. Resources A complete solutions manual to all exercises and problems in the text is available to instructors who have adopted the text. Instructors who would like a copy of this manual should contact Mark Spencer via email to Mark.Spencer@springer.com. For the benefit of instructors and students using my text, I'm moving a number of downloadable files on my website that pertain specifically to the text into their own directories. I also have complete solution keys to the exams and projects that are found in the directories below. I will email these to instructors who are using my text upon request. The text materials come in three flavors: pdf for perusal, lyx and tex for modification and use by instructors.

19. Linear Algebra For Math2601 linear algebra for Math2601 Theory. Notes by Laszlo Erdos. Chapters. Table of contents. 1. Introduction 2. Basic concepts 3. http://www.math.gatech.edu/~bourbaki/math2601/Web-notes/

Linear Algebra for Math2601: Theory Notes by Laszlo Erdos Chapters Table of contents. 1. Introduction 2. Basic concepts 3. Gaussian elimination (review) 4. Using Gaussian elimination: Column space, nullspace, rank, nullity inverse matrix ... 9. Appendix 2: Determinants and Cramer's formula Linear Algebra for Math2601: Numerical Methods Notes by Laszlo Erdos Chapters Table of contents. 1. Introduction 2. Partial pivoting, LU factorization 3. QR factorization revisited 4. Iterative methods ... 6. Summary

20. Linear Algebra And Its Applications - Elsevier (Elsevier) Abstracts from vol.214 (1995), full text to subscribers. http://www.elsevier.com/locate/laa

Home Site map Elsevier websites Alerts ... Linear Algebra and its Applications Journal information Product description Editorial board Audience Abstracting/indexing ... Special issues and supplements Subscription information Bibliographic and ordering information Conditions of sale Dispatch dates Journal-related information Contact the publisher Impact factor Most downloaded articles Other journals in same subject area ... Select your view LINEAR ALGEBRA AND ITS APPLICATIONS Editors-in-Chief: Richard A. Brualdi, Volker Mehrmann, Hans Schneider See editorial board for all editors information Call for Nomination for the Hans Schneider Prize Description Linear Algebra and its Applications publishes articles that contribute new information or new insights to matrix theory and finite dimensional linear algebra in their algebraic, arithmetic, combinatorial, geometric, or numerical aspects. It also publishes articles that give significant applications of matrix theory or linear algebra to other branches of mathematics and to other sciences. Articles that provide new information or perspectives on the historical development of matrix theory and linear algebra are also welcome. Expository articles which can serve as an introduction to a subject for workers in related areas and which bring one to the frontiers of research are encouraged. Reviews of books are published occasionally as are conference reports that provide an historical record of major meetings on matrix theory and linear algebra. Articles that have previously been published - fully or in part - in conference or similar proceedings which have been made available outside of the conference should not be submitted for publication in

Page 1     1-20 of 68    1  | 2  | 3  | 4  | Next 20