This is a complete textbook for Linear Algebra I. The problem solutions that accompany the text appear to be correct, though I’ve only sampled them randomly as I’ve never taught from this text. all proofs.). After all, the theory of linear algebra is not going to change. Noté /5. Although complex vector spaces are used in the sections on diagonalization and Jordan form, there is no discussion of hermitian, skew-hermitian, unitary, or normal matrices. Examples in this text do not mention race, ethnicity, or people’s backgrounds. Links in the .pdf file’s table of contents allow the reader to jump easily to any section of the text. The pdf file is easy to use. A positive aspect is that – unlike many other textbooks - it starts with linear transformations rather than starting with matrices and then develops the intuition behind matrices. It follows modern notation, deviating only when it makes sense for clarity for the students. (also known as the Discovery method or the Moore method). Being a thorough mathematics textbook, overall modularity is limited by the logical nature of the subject matter, but the later chapters are definitley re-organizable. Optional sections in Chapter Five give a more comprehensive treatment of Jordan canonical form than is found in most introductory texts, many of which omit this topic entirely. (There is a version of each slide deck without pauses, The first chapter focuses on solving systems of equations and understanding the types of solutions associated with various types of systems. I enjoy hearing about the experience that folks have with the book have a look at the beamer slides Available instantly. The course covers subjects such as: Gaussian reduction, vector spaces, Linear Algebra also has a supplemental, optional, Reviewed by Iuliana Oprea, Associate Professor, Colorado State University on 1/7/16, The book covers the standard material for an introductory course in linear algebra. Chapter 3 is long (110 pages) contains a lot of material, many of it introduced just when it is needed. and give or sell those to students. The material is standard in that the topics covered are Gaussian reduction, vector spaces, linear maps, determinants, and eigenvalues and eigenvectors. have significantly different content and pagination. The text is consistent in terms of terminology and framework. book This book, together with Linear Algebra, constitutes a curriculum for an algebra program addressed to undergraduates. The author consistently provides end-of-section problems which utilize a set of systems of equations but changes the underlying question tuned to the particular section; This is also done with some examples throughout the text. using Sage. AMS 210, Applied Linear Algebra. the Internet has copies of the answers.) This text does a good job of covering the theory in detail, especially in Chapters Two and Five. It is more challenging than the usual computational type introductions to linear algebra. The current version says “Fourth edition” on the front cover. It is worth mentioning that the text is presented in an attractive and readable font. Ancillary materials are available at the publisher link. I suspect that many of the sophomores at my university, most of whom commute and work considerable hours at a job while in school, and who struggle with elementary linear algebra’s abstractions, would have even more trouble with a theory-oriented exposition like this one. I gratefully acknowledge all the contributions that I use, It builds up the theory of linear algebra in order to answer important questions about they solutions and the types of solutions associated with systems of linear equations, and transitions to utilizing those techniques to further answer questions pertinent to vector spaces and maps between vector spaces. or you can use ISBN-13: 978-1944325114 at your favorite site. 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