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Introduction to Linear Algebra, PDF eBook

Introduction to Linear Algebra PDF

Part of the Undergraduate Texts in Mathematics series

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This is a short text in linear algebra, intended for a one-term course.

In the first chapter, Lang discusses the relation between the geometry and the algebra underlying the subject, and gives concrete examples of the notions which appear later in the book.

He then starts with a discussion of linear equations, matrices and Gaussian elimination, and proceeds to discuss vector spaces, linear maps, scalar products, determinants, and eigenvalues.

The book contains a large number of exercises, some of the routine computational type, while others are conceptual.

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