this book is designed for use in an introductory one- or two-semester course sequence in linear algebra. First and foremost,it is intended for students,and I have tried my best to write the book so that students not only will find it readable but also will want to read it.As in the first edition,I have taken into account the reality that students taking introductory linear algebra are likely to come from a variety of disciplines.
In addition to mathematics majors,there are apt to be majors from engineering
,physics,chemistry,computer science,biology,environmental science,geography,economics,psychology,business,and education,as well as other students taking the course as an elective or to fulfill degree requirements.Accordingly,the book balances theory and applications,is written in a conversational style
yet is fully rigorous,and combines a traditional presentation with concern for student-centered learning
Chapter 1 Vectors
Chapter 2 Systems of Linear Equations
Chapter 3 Matrices
Chapter 4 Eigenvalues and Eigenvectors
Chapter 5 Orthogonality
Chapter 6 Vector Spaces
Chapter 7 Distance and Approximation