Elementary Linear Algebra

Elementary Linear Algebra: Applications Version, 12th 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.

1 Systems of Linear Equations and Matrices 1 2 Determinants 118 3 Euclidean Vector Spaces 146 4 General Vector Spaces 202 5 Eigenvalues and Eigenvectors 291 6 Inner Product Spaces 341 7 Diagonalization and Quadratic Forms 399 8 General Linear Transformations 446 9 Numerical Methods 509 10 Applications of Linear Algebra 545 Appendix A Working with Proofs A1 Appendix B Complex Numbers A5 Answers To Exercises A12 Index I1