Applied Linear Algebra

1. Matrix Algebra. 2. Some Simple Applications and Questions. 3. Solving Equations and Finding Inverses: Methods. 4. Solving Equations and Finding Inverses: Theory. 5. Vectors and Vector Spaces. 6. Introduction Geometrical Vectors. 7. Linear Transformations and Matrices. 8. Eigenvalues and Eigenvectors: An Overview. 9. Eigensystems of Symmetric Hermitian, and Normal Matrices, with Applications. 10. Eigensystems of General Matrices, with Applications. 11. Quadratic Forms and Variational Characterizations of Eigenvalues. 12. Linear Programming. Answers and Aids to Selected Problems. Bibliography. Index.