Elementary linear algebra

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This is an introduction to linear algebra. The main part of the book features row operations

and everything is done in terms of the row reduced echelon form and specific algorithms.

At the end, the more abstract notions of vector spaces and linear transformations on vector

spaces are presented. However, this is intended to be a first course in linear algebra for

students who are sophomores or juniors who have had a course in one variable calculus

and a reasonable background in college algebra. I have given complete proofs of all the

fundamental ideas but some topics such as Markov matrices are not complete in this book but

receive a plausible introduction. The book contains a complete treatment of determinants

and a simple proof of the Cayley Hamilton theorem although these are optional topics.

The Jordan form is presented as an appendix. I see this theorem as the beginning of more

advanced topics in linear algebra and not really part of a beginning linear algebra course.

There are extensions of many of the topics of this book in my on line book [Linear algebra On web page].

I have also not emphasized that linear algebra can be carried out with any field although I have done

everything in terms of either the real numbers or the complex numbers. It seems to me this

is a reasonable specialization for a first course in linear algebra.

# Hardcover: 624 pages

# Publisher: Wiley; 9 edition (December 27, 2004)

# Language: English

# ISBN-10: 0471669601

# ISBN-13: 978-0471669609

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