A practical approach to linear algebra

'Linear Algebra is the heart of applied science but there are divergent views concerning its meaning. The field of Linear Algebra is more beautiful and more fundamental than its rather dull name may suggest. More beautiful because it is full of powerful ideas that are quite unlike those normally emphasized in a linear algebra course in a mathematics department. Throughout the book the author follows the practice of first presenting required background material, which is then used to develop the results. The book is divided in ten chapters. Relevant material is included in each chapter from oth. Preface......Page 6 Contents......Page 8 Basic Notions......Page 10 Systems of Linear Equations......Page 35 Matrics......Page 59 Determinants......Page 110 Introduction to Spectral Theory......Page 148 Inner Product Spaces......Page 171 Structure of Operators in Inner Product Spaces......Page 207 Bilinear and Quadratic Forms......Page 230 Advanced Spectral Theory......Page 243 Linear Transformations......Page 261