Linear Algebra

Linear Algebra constitutes a foundation course for those specializing in the fields of mathematics, engineering and science. The course normally takes one semester, but for those needing a more rigorous study of the subject, it involve up to two semesters.This book is based on the lecture notes given for the linear algebra course at the Department of Mathematics in Wuhan University. Preface Contents 1 Determinants 2 Systems of Linear Equations 3 Matrix Operations 4 Quadratic Forms 5 Matrices Similar to Diagonal Matrices 6 Jordan Canonical Form of Matrices 7 Linear Spaces and Linear Transformations 8 Inner Product Spaces Answers to Selected Exercises Index This work constitutes a foundation course for those specializing in the fields of mathematics, engineering and science. It is based on the lecture notes given for the linear algebra course at the Department of Mathematics in Wuhan University, China. In many practical problems, relations among variables may be simply expressed directly or approximately in terms of linear functions so that it is necessary to investigate such functions.