Exploring Linear Algebra

Exploring Linear Algebra

Author: Crista Arangala

Publisher: CRC Press

Published: 2019-03-07

Total Pages: 200

ISBN-13: 1351664077

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Exploring Linear Algebra: Labs and Projects with MATLAB® is a hands-on lab manual that can be used by students and instructors in classrooms every day to guide the exploration of the theory and applications of linear algebra. For the most part, labs discussed in the book can be used individually or in a sequence. Each lab consists of an explanation of material with integrated exercises. Some labs are split into multiple subsections and thus exercises are separated by those subsections. The exercise sections integrate problems using Mathematica demonstrations (an online tool that can be used with a browser with Java capabilities) and MATLAB® coding. This allows students to discover the theory and applications of linear algebra in a meaningful and memorable way. Features: The book’s inquiry-based approach promotes student interaction Each chapter contains a project set which consists of application-driven projects emphasizing the chapter’s materials Adds a project component to any Linear Algebra course Explores many applications to a variety of fields that can promote research projects Employs MATLAB® to calculate and explore concepts and theories of linear algebra


Understanding Linear Algebra Using MATLAB

Understanding Linear Algebra Using MATLAB

Author: Erwin Kleinfeld

Publisher: Addison-Wesley Longman

Published: 2001

Total Pages: 714

ISBN-13: 9780130609458

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For courses in Introductory Linear Algebra. This book focuses on providing projects and problem sets and the MATLAB code needed to solve these materials.


Linear Algebra: Theory, Intuition, Code

Linear Algebra: Theory, Intuition, Code

Author: Mike X. Cohen

Publisher:

Published: 2021-02

Total Pages: 584

ISBN-13: 9789083136608

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Linear algebra is perhaps the most important branch of mathematics for computational sciences, including machine learning, AI, data science, statistics, simulations, computer graphics, multivariate analyses, matrix decompositions, signal processing, and so on.The way linear algebra is presented in traditional textbooks is different from how professionals use linear algebra in computers to solve real-world applications in machine learning, data science, statistics, and signal processing. For example, the "determinant" of a matrix is important for linear algebra theory, but should you actually use the determinant in practical applications? The answer may surprise you!If you are interested in learning the mathematical concepts linear algebra and matrix analysis, but also want to apply those concepts to data analyses on computers (e.g., statistics or signal processing), then this book is for you. You'll see all the math concepts implemented in MATLAB and in Python.Unique aspects of this book: - Clear and comprehensible explanations of concepts and theories in linear algebra. - Several distinct explanations of the same ideas, which is a proven technique for learning. - Visualization using graphs, which strengthens the geometric intuition of linear algebra. - Implementations in MATLAB and Python. Com'on, in the real world, you never solve math problems by hand! You need to know how to implement math in software! - Beginner to intermediate topics, including vectors, matrix multiplications, least-squares projections, eigendecomposition, and singular-value decomposition. - Strong focus on modern applications-oriented aspects of linear algebra and matrix analysis. - Intuitive visual explanations of diagonalization, eigenvalues and eigenvectors, and singular value decomposition. - Codes (MATLAB and Python) are provided to help you understand and apply linear algebra concepts on computers. - A combination of hand-solved exercises and more advanced code challenges. Math is not a spectator sport!


MATLAB Linear Algebra

MATLAB Linear Algebra

Author: Cesar Lopez

Publisher: Apress

Published: 2014-10-04

Total Pages: 264

ISBN-13: 1484203224

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MATLAB is a high-level language and environment for numerical computation, visualization, and programming. Using MATLAB, you can analyze data, develop algorithms, and create models and applications. The language, tools, and built-in math functions enable you to explore multiple approaches and reach a solution faster than with spreadsheets or traditional programming languages, such as C/C++ or Java. MATLAB Linear Algebra introduces you to the MATLAB language with practical hands-on instructions and results, allowing you to quickly achieve your goals. In addition to giving an introduction to the MATLAB environment and MATLAB programming, this book provides all the material needed to work in linear algebra with ease. In addition to exploring MATLAB’s matrix algebra capabilities, it describes the MATLAB commands that are used to create two- and three-dimensional graphics, including explicit, implicit and parametric curve and surface plotting, and various methods of data representation. Methods for solving systems of equations are detailed.


Linear Algebra and Differential Equations Using MATLAB

Linear Algebra and Differential Equations Using MATLAB

Author: Martin Golubitsky

Publisher: Cengage Learning

Published: 1999-01

Total Pages: 704

ISBN-13: 9780534354251

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These world-renowned authors integrate linear algebra and ordinary differential equations in this unique book, interweaving instructions on how to use MATLAB® with examples and theory. They use computers in two ways: in linear algebra, computers reduce the drudgery of calculations to help students focus on concepts and methods; in differential equations, computers display phase portraits graphically for students to focus on the qualitative information embodied in solutions, rather than just to learn to develop formulas for solutions.


Linear Algebra for Engineers and Scientists Using MATLAB

Linear Algebra for Engineers and Scientists Using MATLAB

Author: Kenneth Hardy

Publisher: Prentice Hall

Published: 2005

Total Pages: 0

ISBN-13: 9780139067280

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Integrating the use of MATLAB in an innovative way, this text is designed for a one term course in introductory linear algebra. Although the book has been developed in the context of engineering and computer science, it should also be suitable for sciencestudents and other audiences.


Linear Algebra and Matrix Computations with MATLAB®

Linear Algebra and Matrix Computations with MATLAB®

Author: Dingyü Xue

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2020-03-23

Total Pages: 301

ISBN-13: 3110666995

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This book focuses the solutions of linear algebra and matrix analysis problems, with the exclusive use of MATLAB. The topics include representations, fundamental analysis, transformations of matrices, matrix equation solutions as well as matrix functions. Attempts on matrix and linear algebra applications are also explored.


Programming Mathematics Using MATLAB

Programming Mathematics Using MATLAB

Author: Lisa A. Oberbroeckling

Publisher: Academic Press

Published: 2020-05-09

Total Pages: 294

ISBN-13: 0128178000

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Providing an alternative to engineering-focused resources in the area, Programming Mathematics Using MATLAB® introduces the basics of programming and of using MATLAB® by highlighting many mathematical examples. Emphasizing mathematical concepts through the visualization of programming throughout the book, this useful resource utilizes examples that may be familiar to math students (such as numerical integration) and others that may be new (such as fractals). Additionally, the text uniquely offers a variety of MATLAB® projects, all of which have been class-tested thoroughly, and which enable students to put MATLAB® programming into practice while expanding their comprehension of concepts such as Taylor polynomials and the Gram–Schmidt process. Programming Mathematics Using MATLAB® is appropriate for readers familiar with sophomore-level mathematics (vectors, matrices, multivariable calculus), and is useful for math courses focused on MATLAB® specifically and those focused on mathematical concepts which seek to utilize MATLAB® in the classroom. - Provides useful visual examples throughout for student comprehension - Includes valuable, class-tested projects to reinforce both familiarity with MATLAB® and a deeper understanding of mathematical principles - Offers downloadable MATLAB® scripts to supplement practice and provide useful example