The 12th Edition of Anton's Elementary Linear Algebra: Applications Version 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.
1 Systems of Linear Equations and Matrices
2 Determinants
3 Euclidean Vector Spaces
4 General Vector Spaces
5 Eigenvalues and Eigenvectors
6 Inner Product Spaces
7 Diagonalization and Quadratic Forms
8 General Linear Transformations
9 Numerical Methods
10 Applications of Linear Algebra
Appendix A Working with Proofs
Appendix B Complex Numbers
