1. Vectors in R and C, Spatial Vectors
2. Algebra of Matrices
3. Systems of Linear Equations
4. Vector Spaces
5. Linear Mappings
6. Linear Mappings and Matrices
7. Inner Product Spaces, Orthogonality
8. Determinants
9. Diagonalization: Eigenvalues and Eigenvectors
10. Canonical Forms
11. Linear Functionals and the Dual Space
12. Bilinear, Quadratic, and Hermitian Forms
13. Linear Operators on Inner Product Spaces
14. Multilinear Products

Seymour Lipschutz is on the faculty of Temple University and formally taught at the Polytechnic Institute of Brooklyn. He is one of Schaum's major authors.
Marc Lipson is on the faculty of University of Georgia. He is also the coauthor of Schaum's Outline of Discrete Mathematics and Schaum's Outline of Probability with Seymour Lipschutz.

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