Elementary Linear Algebra 10 th edition gives an elementary treatment of linear algebra that is suitable for a first course for undergraduate students. The aim is to present the fundamentals of linear algebra in the clearest possible way; pedagogy is the main consideration. Calculus is not a prerequisite, but there are clearly labeled exercises and examples (which can be omitted without loss of continuity) for students who have studied calculus. Technology also is not required, but for those who would like to use MATLAB, Maple, or Mathematica, or calculators with linear algebra capabilities, exercises are included at the ends of chapters that allow for further exploration using those tools.
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CHAPTER 1 SYSTEMS OF LINEAR EQUATIONS AND MATRICES CHAPTER 2 DETERMINANTS CHAPTER 3 EUCLIDEAN VECTOR SPACES CHAPTER 4 GENERAL VECTOR SPACES CHAPTER 5 EIGNVALUES AND EIGENVECTORS CHAPTER 6 INNER PRODUCT SPACES CHAPTER 7 DIAGONALIZATION AND QUADRATIC FORMS CHAPTER 8 LINEAR TRANSFORMATIONS CHAPTER 9 NUMERICAL METHODS CHAPTER 10 APPLICATIONS OF LINEAR ALGEBRA