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The book covers all usual topics in an elementary algebra text book, commencing with integers and continuing through linear expressions, linear equations and inequalities, systems of. Among the dozens and dozens of linear algebra books that have appeared, two that were written before dumbing down of textbooks became. Exercise books in linear algebra and geometry mathematics stack. We will begin our journey through linear algebra by defining and conceptualizing what a vector is rather than starting with matrices and matrix operations like in a more basic algebra course and defining some basic operations like addition, subtraction and scalar multiplication. We use only one theoretical concept from linear algebra, linear independence, and only one computational tool, the qr factorization. In fact its also a great book teaching many aspects of linear algebra and a great. While this book begins with linear reduction, from. The book covers less mathematics than a typical text on applied linear algebra. In this introduction, explore the basic tools of vectors, vector spaces, matrices, and linear equations. A first course in linear algebra with optional introduction to groups, rings, and fields by raymond a beauregard and a great selection of related books, art and collectibles available now at. If i were ever to teach the course again, i would choose messers linear algebra solely because chapter one starts with vector spaces and linear transformations.
Applications version 1 by howard anton and chris rorres and linear algebra and its applications 10 by gilbert strang are loaded with applications. The book doesnt skimp on the techniques of linear algebra, and there are seemingly endless examples of ludecomposition and other numeric work. Exercises and problems in linear algebra portland state university. Popular topics in linear algebra are vector space linear transformation diagonalization. Book cover of chris mcmullen basic linear graphing skills practice. Introduction to linear algebra, 5th edition mit math. This is the only linear algebra book that i have found in which the author had a conscience. The worlds first linear algebra book with fully interactive figures.