Books like Linear Algebra for Everyone by Gilbert Strang

An accessible textbook that explains linear algebra concepts and demonstrates their application across engineering, computer science, physics, biology, and economics.

This textbook for the first undergraduate linear algebra course presents a unified treatment of linear algebra and geometric algebra, while covering most of the usual linear algebra topics. Geometric algebra is an extension of linear algebra. It enhances the treatment of many linear algebra topics. And geometric algebra does much more. Geometric algebra and its extension to geometric calculus unify, simplify, and generalize vast areas of mathematics that involve geometric ideas. They provide a unified mathematical language for many areas of physics, computer science, and other fields. The book can be used for self study by those comfortable with the theorem/proof style of a mathematics text. This is a fifth printing, corrected and slightly revised. Visit the book’s web site for more information: http://faculty.luther.edu/~macdonal/laga

This book 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, and others are conceptual.

A mathematics textbook that presents linear algebra concepts in a clear, concrete setting before moving to abstract theory, emphasizing linear independence, spanning, subspaces, vector spaces, and linear transformations.