Chapman and Hall/CRC
This popular textbook was thoughtfully and specifically tailored to introducing undergraduate students to linear algebra. The second edition has been carefully revised to improve upon its already successful format and approach. In particular, the author added a chapter on quadratic forms, making this one of the most comprehensive introductory texts on linear algebra.
A System of Vectors. Matrices. Elementary Row Operations. An Introduction to Determinants. Vector Spaces. Linear Mappings. Matrices from Linear Mappings. Eigenvalues, Eigenvectors, and Diagonalization. Euclidean Spaces. Quadratic Forms. Appendix: Mappings. Index.