Linear Algebra, 5th Edition

To the Student

In a general sense, we can think of linear algebra as the mathematics of linear processes. It is concerned with sets of objects, called vector spaces, in which a concept of linearity exists, and with special functions defined on vector spaces, called linear transformations, that preserve linearity. Although linear algebra is a branch of pure mathematics, it plays an essential role in many areas of applied mathematics, statistics, engineering, and physics. With the recent development of computers, the importance of computations, simulations, and modeling has greatly expanded the use of linear algebra to other disciplines also. In this book, we present applications of linear algebra to the study of differential equations, statistics, ...