Linear Algebra: An Introduction

In this appealing and well-written text, Richard Bronson presents readers and sub-structures for companies. The normal standard is Markov chains, least squares approximation, and solution of differential equations using Jordan normal form.

The first three chapters address the basics: matrices, vector spaces, and linear transformations. The next three cover eigenvalues, Euclidian inner products, and Jordan canonical forms, offering. Bronson's approach to computation is modern and algorithmic, and his theory is clean and straightforward. Throughout, the views of the theory presented are broad and balanced. Key material is highlighted in the end of each chapter. The book also includes ample exercises with answers and hints. With all the necessary features for professionals, teachers, and students.

. Introduces deductive reasoning and helps the student develop a familiarity with mathematical proofs
. Gives computational algorithms for fi nding Eigenvalues and Eigenvectors
. A balanced approach to computation and theory
. Exercise sets ranging from basic drill to theoretical / challenging
. Useful and interesting applications in other introductory linear algebra texts

PREFACE, 1. MATRICES, 2. VECTOR SPACES, 3. LINEAR TRANSFORMATIONS, 4. EIGENVALUES, EIGENVECTORS, AND DIFFERENTIAL EQUATIONS, 5. EUCLIDEAN INNER PRODUCT, APPENDIX A: DETERMINANTS, APPENDIX B: JORDAN CANONICAL FORMS, APPENDIX C: MARKOV CHAINS, APPENDIX D: THE SIMPLEX METHOD, AN EXAMPLE, APPENDIX E: A WORD ON THE NUMERICAL TECHNIQUES AND TECHNOLOGY, ANSWERS AND HINTS TO SELECTED PROBLEMS, INDEX