Schaum's outlines linear algebra
Seymour Saul Lipschutz, Marc L. Lipson · 2013
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