**By Serge Lang,**

__Introduction to Linear Algebra (Undergraduate Texts in Mathematics) 2nd edition__

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 vectThis 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.

Professor John Johnstone recommended this text, among several, as a good way to remember the linear algebra I ve forgotten since 1994.