Table of Contents

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

About the Author

Marc Lipson, Ph.D. (Philadelphia, PA), is on the mathematical faculty of the University of Georgia. He is co-author of Schaum's Outline of Discrete Mathematics.