Linear Algebra and Its Applications

Linear Algebra and Its Applications
Author: David C. Lay,Steven R. Lay,Judith McDonald
Publsiher: Pearson
Total Pages: 576
Release: 2014-12-24
ISBN: 9780321982384
Category: Mathematics
Language: EN, FR, DE, ES & NL

Linear Algebra and Its Applications Book Excerpt:

NOTE: Before purchasing, check with your instructor to ensure you select the correct ISBN. Several versions of Pearson's MyLab & Mastering products exist for each title, and registrations are not transferable. To register for and use Pearson's MyLab & Mastering products, you may also need a Course ID, which your instructor will provide. Used books, rentals, and purchases made outside of Pearson If purchasing or renting from companies other than Pearson, the access codes for Pearson's MyLab & Mastering products may not be included, may be incorrect, or may be previously redeemed. Check with the seller before completing your purchase. Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. If you would like to purchase both the physical text and MyMathLab, search for: 9780134022697 / 0134022696 Linear Algebra and Its Applications plus New MyMathLab with Pearson eText -- Access Card Package, 5/e With traditional linear algebra texts, the course is relatively easy for students during the early stages as material is presented in a familiar, concrete setting. However, when abstract concepts are introduced, students often hit a wall. Instructors seem to agree that certain concepts (such as linear independence, spanning, subspace, vector space, and linear transformations) are not easily understood and require time to assimilate. These concepts are fundamental to the study of linear algebra, so students' understanding of them is vital to mastering the subject. This text makes these concepts more accessible by introducing them early in a familiar, concrete Rn setting, developing them gradually, and returning to them throughout the text so that when they are discussed in the abstract, students are readily able to understand.

Linear Algebra and Its Applications

Linear Algebra and Its Applications
Author: Peter D. Lax
Publsiher: John Wiley & Sons
Total Pages: 394
Release: 2007-09-10
ISBN: 0471751561
Category: Mathematics
Language: EN, FR, DE, ES & NL

Linear Algebra and Its Applications Book Excerpt:

This set features Linear Algebra and Its Applications, Second Edition (978-0-471-75156-4) Linear Algebra and Its Applications, Second Edition presents linear algebra as the theory and practice of linear spaces and linear maps with a unique focus on the analytical aspects as well as the numerous applications of the subject. In addition to thorough coverage of linear equations, matrices, vector spaces, game theory, and numerical analysis, the Second Edition features student-friendly additions that enhance the book's accessibility, including expanded topical coverage in the early chapters, additional exercises, and solutions to selected problems. Beginning chapters are devoted to the abstract structure of finite dimensional vector spaces, and subsequent chapters address convexity and the duality theorem as well as describe the basics of normed linear spaces and linear maps between normed spaces. Further updates and revisions have been included to reflect the most up-to-date coverage of the topic, including: The QR algorithm for finding the eigenvalues of a self-adjoint matrix The Householder algorithm for turning self-adjoint matrices into tridiagonal form The compactness of the unit ball as a criterion of finite dimensionality of a normed linear space Additionally, eight new appendices have been added and cover topics such as: the Fast Fourier Transform; the spectral radius theorem; the Lorentz group; the compactness criterion for finite dimensionality; the characterization of commentators; proof of Liapunov's stability criterion; the construction of the Jordan Canonical form of matrices; and Carl Pearcy's elegant proof of Halmos' conjecture about the numerical range of matrices. Clear, concise, and superbly organized, Linear Algebra and Its Applications, Second Edition serves as an excellent text for advanced undergraduate- and graduate-level courses in linear algebra. Its comprehensive treatment of the subject also makes it an ideal reference or self-study for industry professionals. and Functional Analysis (978-0-471-55604-6) both by Peter D. Lax.

Linear Algebra and Its Applications

Linear Algebra and Its Applications
Author: Peter D. Lax
Publsiher: John Wiley & Sons
Total Pages: 392
Release: 2013-05-20
ISBN: 1118626923
Category: Mathematics
Language: EN, FR, DE, ES & NL

Linear Algebra and Its Applications Book Excerpt:

Praise for the First Edition ". . .recommended for the teacher and researcher as well as forgraduate students. In fact, [it] has a place on everymathematician's bookshelf." -American Mathematical Monthly Linear Algebra and Its Applications, Second Edition presents linearalgebra as the theory and practice of linear spaces and linear mapswith a unique focus on the analytical aspects as well as thenumerous applications of the subject. In addition to thoroughcoverage of linear equations, matrices, vector spaces, game theory,and numerical analysis, the Second Edition featuresstudent-friendly additions that enhance the book's accessibility,including expanded topical coverage in the early chapters,additional exercises, and solutions to selected problems. Beginning chapters are devoted to the abstract structure of finitedimensional vector spaces, and subsequent chapters addressconvexity and the duality theorem as well as describe the basics ofnormed linear spaces and linear maps between normed spaces. Further updates and revisions have been included to reflect themost up-to-date coverage of the topic, including: The QR algorithm for finding the eigenvalues of a self-adjointmatrix The Householder algorithm for turning self-adjoint matricesinto tridiagonal form The compactness of the unit ball as a criterion of finitedimensionality of a normed linear space Additionally, eight new appendices have been added and cover topicssuch as: the Fast Fourier Transform; the spectral radius theorem;the Lorentz group; the compactness criterion for finitedimensionality; the characterization of commentators; proof ofLiapunov's stability criterion; the construction of the JordanCanonical form of matrices; and Carl Pearcy's elegant proof ofHalmos' conjecture about the numerical range of matrices. Clear, concise, and superbly organized, Linear Algebra and ItsApplications, Second Edition serves as an excellent text foradvanced undergraduate- and graduate-level courses in linearalgebra. Its comprehensive treatment of the subject also makes itan ideal reference or self-study for industry professionals.

Matrix Algebra and Its Applications to Statistics and Econometrics

Matrix Algebra and Its Applications to Statistics and Econometrics
Author: Calyampudi Radhakrishna Rao,M. Bhaskara Rao
Publsiher: World Scientific
Total Pages: 560
Release: 1998
ISBN: 9789810232689
Category: Mathematics
Language: EN, FR, DE, ES & NL

Matrix Algebra and Its Applications to Statistics and Econometrics Book Excerpt:

"I recommend this book for its extensive coverage of topics not easily found elsewhere and for its focus on applications".Zentralblatt MATH"The book is an excellent source on linear algebra, matrix theory and applications in statistics and econometrics, and is unique in many ways. I recommend it to anyone interested in these disciplines, and especially in how they benefit from one another".Statistical Papers, 2000

Linear Algebra and Its Applications with R

Linear Algebra and Its Applications with R
Author: Ruriko Yoshida
Publsiher: CRC Press
Total Pages: 290
Release: 2021-06-23
ISBN: 1000400263
Category: Mathematics
Language: EN, FR, DE, ES & NL

Linear Algebra and Its Applications with R Book Excerpt:

The book developed from the need to teach a linear algebra course to students focused on data science and bioinformatics programs. These students tend not to realize the importance of linear algebra in applied sciences since traditional linear algebra courses tend to cover mathematical contexts but not the computational aspect of linear algebra or its applications to data science and bioinformatics. The author presents the topics in a traditional course yet offers lectures as well as lab exercises on simulated and empirical data sets. This textbook provides students a theoretical basis which can then be applied to the practical R and Python problems, providing the tools needed for real-world applications. Each section starts with working examples to demonstrate how tools from linear algebra can help solve problems in applied science. These exercises start from easy computations, such as computing determinants of matrices, to practical applications on simulated and empirical data sets with R so that students learn how to get started with R along with computational examples in each section and then they learn how to apply what they learn to problems in applied sciences. This book is designed from first principles to demonstrate the importance of linear algebra through working computational examples with R and python including tutorials on how to install R in the Appendix. If a student has never seen R, they can get started without any additional help. Since Python is one of the most popular languages in data science, optimization, and computer science, code supplements are available for students who feel more comfortable with Python. R is used primarily for computational examples to develop student’s practical computational skills. Table of Contents Preface List of Figures List of Tables 1. Systems of Linear Equations and Matrices 2. Matrix Arithmetic 3. Deteminants 4. Vector Spaces 5. Inner Product Space 6. Eigen values and Eigen vectors 7. Linear Regression 8. Linear Programming Network Analysis Appendices A) Introduction to RStudio via Amazon Web Service (AWS) B) Introduction to R Bibliography Index Biography Dr. Ruriko Yoshida is an Associate Professor of Operations Research at the Naval Postgraduate School. She received her Ph.D. in Mathematics from the University of California, Davis. Her research topics cover a wide variety of areas: applications of algebraic combinatorics to statistical problems such as statistical learning on non-Euclidean spaces, sensor networks, phylogenetics, and phylogenomics. She teaches courses in statistics, stochastic models, probability, and data science.

Linear Algebra And Its Applications

Linear Algebra And Its Applications
Author: Tzuong-tsieng Moh
Publsiher: World Scientific
Total Pages: 336
Release: 2020-10-21
ISBN: 9813235446
Category: Mathematics
Language: EN, FR, DE, ES & NL

Linear Algebra And Its Applications Book Excerpt:

From Tzuong-Tsieng Moh, a seasoned expert in algebra, comes a new book for students to better understand linear algebra. Writing from an experienced standpoint, Moh covers the many standard aspects comprising linear algebra, such as echelon forms, matrix algebra, linear transformations, and more. Moh further includes several advanced topics and applications, as well as self-correcting codes, Heisenberg's uncertainty principle, Maxwell's equations in relativity form, Google's search engine, and the theory of finitely generated modules over a PID. This book is ideal for both newcomers and experienced readers who want to attain a deeper understanding on both the basics and advanced topics of linear algebra and its vast applications. The wide range of topics combined with the depth of each discussion make it essential to be on the shelf of every mathematical beginner and enthusiast.

Linear Algebra with Applications

Linear Algebra with Applications
Author: Steve Kirkland
Publsiher: Manipal Universal Press
Total Pages: 374
Release: 2014-12-20
ISBN: 9382460209
Category: Mathematics
Language: EN, FR, DE, ES & NL

Linear Algebra with Applications Book Excerpt:

Contributed articles.

Linear Algebra and Its Applications Global Edition

Linear Algebra and Its Applications  Global Edition
Author: DAVID. LAY LAY (STEVEN. MCDONALD, JUDI.),Steven Lay,Judi McDonald
Publsiher: Unknown
Total Pages: 672
Release: 2021-07-07
ISBN: 9781292351216
Category: Electronic Book
Language: EN, FR, DE, ES & NL

Linear Algebra and Its Applications Global Edition Book Excerpt:

Linear Algebra And Its Applications

Linear Algebra And Its Applications
Author: Gilbert Strang
Publsiher: Unknown
Total Pages: 487
Release: 2011
ISBN: 9788131501726
Category: Electronic Book
Language: EN, FR, DE, ES & NL

Linear Algebra And Its Applications Book Excerpt:

Proceedings of the Fifth SIAM Conference on Applied Linear Algebra

Proceedings of the Fifth SIAM Conference on Applied Linear Algebra
Author: John Gregg Lewis
Publsiher: SIAM
Total Pages: 606
Release: 1994-01-01
ISBN: 9780898713367
Category: Mathematics
Language: EN, FR, DE, ES & NL

Proceedings of the Fifth SIAM Conference on Applied Linear Algebra Book Excerpt:

Linear Algebra and Linear Models

Linear Algebra and Linear Models
Author: Ravindra B. Bapat
Publsiher: Springer Science & Business Media
Total Pages: 167
Release: 2012-01-28
ISBN: 1447127390
Category: Mathematics
Language: EN, FR, DE, ES & NL

Linear Algebra and Linear Models Book Excerpt:

Linear Algebra and Linear Models comprises a concise and rigorous introduction to linear algebra required for statistics followed by the basic aspects of the theory of linear estimation and hypothesis testing. The emphasis is on the approach using generalized inverses. Topics such as the multivariate normal distribution and distribution of quadratic forms are included. For this third edition, the material has been reorganised to develop the linear algebra in the first six chapters, to serve as a first course on linear algebra that is especially suitable for students of statistics or for those looking for a matrix theoretic approach to the subject. Other key features include: coverage of topics such as rank additivity, inequalities for eigenvalues and singular values; a new chapter on linear mixed models; over seventy additional problems on rank: the matrix rank is an important and rich topic with connections to many aspects of linear algebra such as generalized inverses, idempotent matrices and partitioned matrices. This text is aimed primarily at advanced undergraduate and first-year graduate students taking courses in linear algebra, linear models, multivariate analysis and design of experiments. A wealth of exercises, complete with hints and solutions, help to consolidate understanding. Researchers in mathematics and statistics will also find the book a useful source of results and problems.

The Schur Complement and Its Applications

The Schur Complement and Its Applications
Author: Fuzhen Zhang
Publsiher: Springer Science & Business Media
Total Pages: 295
Release: 2006-03-30
ISBN: 0387242732
Category: Mathematics
Language: EN, FR, DE, ES & NL

The Schur Complement and Its Applications Book Excerpt:

This book describes the Schur complement as a rich and basic tool in mathematical research and applications and discusses many significant results that illustrate its power and fertility. Coverage includes historical development, basic properties, eigenvalue and singular value inequalities, matrix inequalities in both finite and infinite dimensional settings, closure properties, and applications in statistics, probability, and numerical analysis.

Linear Algebra

Linear Algebra
Author: Richard C. Penney
Publsiher: John Wiley & Sons
Total Pages: 512
Release: 2021-01-07
ISBN: 1119656923
Category: Mathematics
Language: EN, FR, DE, ES & NL

Linear Algebra Book Excerpt:

Praise for the Third Edition "This volume is ground-breaking in terms of mathematical texts in that it does not teach from a detached perspective, but instead, looks to show students that competent mathematicians bring an intuitive understanding to the subject rather than just a master of applications." - Electric Review Learn foundational and advanced topics in linear algebra with this concise and approachable resource A comprehensive introduction, Linear Algebra: Ideas and Applications, Fifth Edition provides a discussion of the theory and applications of linear algebra that blends abstract and computational concepts. With a focus on the development of mathematical intuition, the book emphasizes the need to understand both the applications of a particular technique and the mathematical ideas underlying the technique. The book introduces each new concept in the context of explicit numerical examples, which allows the abstract concepts to grow organically out of the necessity to solve specific problems. The intuitive discussions are consistently followed by rigorous statements of results and proofs. Linear Algebra: Ideas and Applications, Fifth Edition also features: A new application section on section on Google’s Page Rank Algorithm. A new application section on pricing long term health insurance at a Continuing Care Retirement Community (CCRC). Many other illuminating applications of linear algebra with self-study questions for additional study. End-of-chapter summaries and sections with true-false questions to aid readers with further comprehension of the presented material Numerous computer exercises throughout using MATLAB® code Linear Algebra: Ideas and Applications, Fifth Edition is an excellent undergraduate-level textbook for one or two semester undergraduate courses in mathematics, science, computer science, and engineering. With an emphasis on intuition development, the book is also an ideal self-study reference.

Handbook of Linear Algebra

Handbook of Linear Algebra
Author: Leslie Hogben
Publsiher: CRC Press
Total Pages: 1402
Release: 2006-11-02
ISBN: 1420010573
Category: Mathematics
Language: EN, FR, DE, ES & NL

Handbook of Linear Algebra Book Excerpt:

The Handbook of Linear Algebra provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use handbook format. The esteemed international contributors guide you from the very elementary aspects of the subject to the frontiers of current research. The book features an accessibl

Linear Algebra And Its Applications

Linear Algebra And Its Applications
Author: T. T. Moh
Publsiher: Unknown
Total Pages: 336
Release: 2020
ISBN: 9789813235434
Category: Algebras, Linear
Language: EN, FR, DE, ES & NL

Linear Algebra And Its Applications Book Excerpt:

Handbook of Linear Algebra Second Edition

Handbook of Linear Algebra  Second Edition
Author: Leslie Hogben
Publsiher: CRC Press
Total Pages: 1906
Release: 2013-11-26
ISBN: 1466507284
Category: Mathematics
Language: EN, FR, DE, ES & NL

Handbook of Linear Algebra Second Edition Book Excerpt:

With a substantial amount of new material, the Handbook of Linear Algebra, Second Edition provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use format. It guides you from the very elementary aspects of the subject to the frontiers of current research. Along with revisions and updates throughout, the second edition of this bestseller includes 20 new chapters. New to the Second Edition Separate chapters on Schur complements, additional types of canonical forms, tensors, matrix polynomials, matrix equations, special types of matrices, generalized inverses, matrices over finite fields, invariant subspaces, representations of quivers, and spectral sets New chapters on combinatorial matrix theory topics, such as tournaments, the minimum rank problem, and spectral graph theory, as well as numerical linear algebra topics, including algorithms for structured matrix computations, stability of structured matrix computations, and nonlinear eigenvalue problems More chapters on applications of linear algebra, including epidemiology and quantum error correction New chapter on using the free and open source software system Sage for linear algebra Additional sections in the chapters on sign pattern matrices and applications to geometry Conjectures and open problems in most chapters on advanced topics Highly praised as a valuable resource for anyone who uses linear algebra, the first edition covered virtually all aspects of linear algebra and its applications. This edition continues to encompass the fundamentals of linear algebra, combinatorial and numerical linear algebra, and applications of linear algebra to various disciplines while also covering up-to-date software packages for linear algebra computations.

Linear Algebra and Its Applications

Linear Algebra and Its Applications
Author: David C. Lay
Publsiher: Addison Wesley
Total Pages: 112
Release: 2000
ISBN: 1928374650XXX
Category: Mathematics
Language: EN, FR, DE, ES & NL

Linear Algebra and Its Applications Book Excerpt:

The Study Guide is based on David Lay's many years in the classroom, and has been updated so students can take full advantage of the new projects and data in the Updated Second Edition of the text. This guide gives the worked-out solutions to model problems that correspond with exercises in the text, along with study tips, hints to students, instructions for using MATLAB along with the text, additional MATLAB exercises, and expanded coverage of some text material. Maple and Mathematica appendices have been added, and the TI appendix has been updated to include coverage of the TI-86.

Linear Algebra and Linear Models

Linear Algebra and Linear Models
Author: R. B. Bapat
Publsiher: Springer Science & Business Media
Total Pages: 145
Release: 2000
ISBN: 0387988718
Category: Mathematics
Language: EN, FR, DE, ES & NL

Linear Algebra and Linear Models Book Excerpt:

This book provides a rigorous introduction to the basic aspects of the theory of linear estimation and hypothesis testing, covering the necessary prerequisites in matrices, multivariate normal distribution and distributions of quadratic forms along the way. It will appeal to advanced undergraduate and first-year graduate students, research mathematicians and statisticians.

Graphs Matrices and Designs

Graphs  Matrices  and Designs
Author: Rees
Publsiher: Routledge
Total Pages: 344
Release: 2017-07-12
ISBN: 1351444387
Category: Mathematics
Language: EN, FR, DE, ES & NL

Graphs Matrices and Designs Book Excerpt:

Examines partitions and covers of graphs and digraphs, latin squares, pairwise balanced designs with prescribed block sizes, ranks and permanents, extremal graph theory, Hadamard matrices and graph factorizations. This book is designed to be of interest to applied mathematicians, computer scientists and communications researchers.

Linear Algebra and Its Applications with R

Linear Algebra and Its Applications with R
Author: Ruriko Yoshida
Publsiher: Unknown
Total Pages: 135
Release: 2021
ISBN: 9781032020525
Category: Algebras, Linear
Language: EN, FR, DE, ES & NL

Linear Algebra and Its Applications with R Book Excerpt:

The book developed from the need to teach a linear algebra course to students focused on data science and bioinformatics programs. These students tend not to realize the importance of linear algebra in applied sciences since traditional linear algebra courses tend to cover mathematical contexts but not the computational aspect of linear algebra or its applications to data science and bioinformatics. The author presents the topics in a traditional course yet offers lectures as well as lab exercises on simulated and empirical data sets. This textbook provides students a theoretical basis which can then be applied to the practical R and Python problems, providing the tools needed for real-world applications. Each section starts with working examples to demonstrate how tools from linear algebra can help solve problems in applied science. These exercises start from easy computations, such as computing determinants of matrices, to practical applications on simulated and empirical data sets with R so that students learn how to get started with R along with computational examples in each section and then they learn how to apply what they learn to problems in applied sciences. This book is designed from first principles to demonstrate the importance of linear algebra through working computational examples with R and python including tutorials on how to install R in the Appendix. If a student has never seen R, they can get started without any additional help. Since Python is one of the most popular languages in data science, optimization, and computer science, code supplements are available for students who feel more comfortable with Python. R is used primarily for computational examples to develop student's practical computational skills