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Linear algebra course. All of the content of a first course in linear algebra can be easily browsed in the online version. A first course in linear algebra is an introductory textbook designed for university sophomores and juniors. Linear algebra is the branch of mathematics concerning linear equations such as linear functions such as and their representations. This course covers matrix theory and linear algebra emphasizing topics useful in other disciplines such as physics economics and social sciences natural sciences and engineering. The course attempts to provide the motivation for why linear algebra is important in addition to what linear algebra is.

Linear algebra a free text for a standard us undergraduate course jim hefferon mathematics and statistics department saint michaels college jhefferon at smcvtedu. Emphasis is given to topics that will be useful in other disciplines including systems of equations vector spaces determinants eigenvalues similarity and positive definite matrices. Suitable for advanced undergraduates and graduate students this text offers a complete introduction to the basic concepts of linear algebra. Typically such a student will have taken calculus but this is not a prerequisite. Interesting and inspiring in its approach it imparts an understanding of the subjects logical structure as well as the ways in which linear algebra provides solutions to problems in many branches of mathematics.

A second course in linear algebra by garcia and horn is a brilliant piece of work in linear algebra and matrix theory. This page has links for latest pdf versions of the text and related supplements. You can use it as a main text as a supplement or for independent study. It is a fascinating text for advanced undergraduate students and graduate students in science technology engineering and mathematics stem. This mini course is intended for students who would like a refresher on the basics of linear algebra.

The book begins with systems of linear equations then covers matrix algebra before taking up finite dimensional vector spaces in full generality.

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