The linear algebra problem solver: a complete solution guide to any textbook
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| Format: | Book |
| Language: | English |
| Published: |
Piscataway:
Research and Education Association,
1999.
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| Series: | REA's problem solvers
REA's problem solvers |
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Table of Contents:
- 1. Vector spaces
- 2. Linear transformations
- 3. Matrices of linear ftransformations
- 4. Basic matrix arithmetic
- 5. Determinants
- 6. The inverse of a matrix
- 7. The rank of a matrix
- 8. Systems of linear equations
- 9. Polynomial algebra
- 10. Eigenvalue problems
- 11. Diagonalization of a matrix
- 12. The jordan canonical form
- 13. Matrix functions
- 14. Inner product spaces
- 15. Bilinear forms
- 16. Numerical methods of linear algebra
- 17. Linear programming and game theory
- 18. Applications to differential equations
- 19. Economic and statistical applications
- 20. Applications to physical systems I (mechanics, chemical)
- 21. Applications to physical systems II (electrical)
- 22. Linear functionals
- 23. Geometrical applications
- 24. Miscellaneous applications.