The third edition of this textbook continues to use an applications approach as the vehicle for explaining theoretical concepts, and promoting real-world problem solving in the exercises. It aims to use the visual nature of applications to bridge the gap between concrete and abstract understanding. A new early introduction of eigenvalues and eigenvectors is included, allowing students time to master these concepts, and there are optional graphing calculator sections at the end of the first two chapters, designed to introduce students who are already experienced with other uses of the graphing calculator to uses in linear algebra.

1.systems of linear equations
2.matrices
3.determinants
4.the vector space
5.n-dimensional euclidean space
6.general vector spaces
7.linear transformations
8.coordinate representations
9.numerical techiques
10.linear programming

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