Each topic builds on previously covered material. Early on, the book introduces students to the concepts of linear combinations of vectors and matrices, the row space of a matrix, eigenvalues, and eigenvectors. To get the free app, enter mobile phone number. Liinear text contains over numbered exercises, many with multiple parts, for a total of over questions. The author give early, intensive attention to the skills needed for the reading and writing of mathematical proofs. Elementary Linear Algebra develops and explains in careful detail the computational techniques and fundamental theoretical results central to a first course in linear algebra.
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This text provides a solid introduction to both the computational and theoretical aspects of linear algebra. The textbook covers many important real-world applications of linear algebra, including graph theory, circuit theory, Markov chains, elementary coding theory, least-squares polynomials and least-squares solutions for inconsistent systems, differential equations, computer graphics and quadratic forms. Also, many computational techniques in linear algebra are presented, including iterative methods for solving linear systems, LDU Decomposition, the Power Method for finding eigenvalues, QR Decomposition, and Singular Value Decomposition and its usefulness in digital imaging.
The most unique feature of the text is that students are nurtured in the art of creating mathematical proofs using linear algebra as the underlying context. The text contains a large number of worked out examples, as well as more than exercises with over total questions to give students practice in both the computational aspects of the course and in developing their proof-writing abilities.
Provides clearly written and concisely explained ancillary materials, including four appendices expanding on the core concepts of elementary linear algebra Prepares students for future math courses by focusing on the conceptual and practical basics of proofs From reader reviews: Paul Howard: The book Elementary Linear Algebra can give more knowledge and also the precise product information about everything you want.
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Elementary Linear Algebra by Stephen Andrilli, David Hecker