| VOLUME 01 —
Matrix Algebra (by Karim Abadir and Jan Magnus) (June 2005) |
| 1. |
Vectors |
| 2. |
Matrices |
| 3. |
Vector spaces |
| 4. |
Rank, inverse, and determinant |
| 5. |
Partitioned matrices |
| 6. |
Systems of equations |
| 7. |
Eigenvalues, eigenvectors, and factorizations |
| 8. |
Positive (semi)definite and idempotent matrices |
| 9. |
Matrix functions |
| 10. |
Kronecker product, vec-operator, and Moore-Penrose inverse |
| 11. |
Patterned matrices: Commutations, and duplication matrix |
| 12. |
Matrix inequalities |
| 13. |
Matrix calculus |
|
Appendix A: Some mathematical tools |
|
Appendix B: Notation |
|
Corrections
and additions (9/25/2006) |
