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Full Description
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.
Contents
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