About Book: 

       The primary purpose of this fourth edition of Linear Algebra is to present a careful treatment of the subject through a variety of applications. Our major thrust emphasizes the symbiotic relationship between linear transformations and matrices. However, where appropriate, theorems ate stated in the more general infinite-dimensional case. For example, this theory is applied to finding solutions to a homogeneous linear differential equation and the vest approximation by a trigonometric polynomial to a continuous function.

       Although the only formal prerequisite for this book is a one-year course in calculus. It requires the mathematical sophistication of typical junior and senior mathematics majors. This book is especially suited for a second course in linear algebra that emphasizes abstract vector spaces, although It can be used in a first course with a strong theoretical emphasis.