"A logical development of the subject...all the important theorems and results are discussed in terms of simple worked examples." --Current Science (Review of the First Edition) This book gives a careful presentation of the basic concepts of linear algebra as a coherent part of mathematics, and illustrates its practical power through a variety of interesting applications new to this second edition. The power and utility of this beautiful subject is demonstrated, in particular, in its focus on linear recurrence, difference and differential equations that affect applications in physics, computer science, and economics. This second edition includes substantial revisions, new material on minimal polynomials and diagonalization, as well as a variety of new applications.