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FUNDAMENTALS OF LINEAR ALGEBRA James B. Carrell carrell@math.ubc.ca (July, 2005)
The primary purpose of this fourth edition of Linear Algebra is to present a careful treatment of the principal topics of linear algebra and to illustrate the power of the subject through a variety of applications. Our major thrust emphasizes the symbiotic relationship between linear transformations and matrices.
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linear algebra: diagonal matrices, orthogonal matrices, triangular matrices, symmetric matrices. The eigenvalues of those matrices are special too. I think 2 by 2 matrices provide terriļ¬c examples of the information that eigenvalues l can give. Sections 5.1 and 5.2 are worth careful reading, to see how Ax = lx is useful. Here is a case in ...
It provides the student with some picture of the origins of linear algebra and with the computational technique necessary to under stand examples of the more abstract ideas occurring in the later chapters. Chap ter 2 deals with vector spaces, subspaces, bases, and dimension.
Please click on the desired resource to download it or open up a new link. Table of Contents and Preface to the 6th edition (ILA6) Front and Back Covers and Copyright Page (ILA6) Click here to order the book from Wellesley-Cambridge Press (USA) Textbooks by Gilbert Strang / Video links and book websites. Linear Algebra for Everyone (2020)
Linear Algebra is a text for a first US undergraduate Linear Algebra course. You can use it as a main text, as a supplement, or for independent study. It is Free. The book, the complete answers to all exercises, classroom presentation slides, and a lab manual using Sage, are all available for download.