The linear algebra a beginning graduate student ought to know /

Guardado en:
Autor Principal: Golan, Jonathan S.
Formato: Libro
Idioma:English
Publicado: Dordrecht : Springer, c2007.
Edición:2nd ed.
Materias:
Acceso en línea:Publisher description
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Tabla de Contenidos:
  • 1. Notation and terminology
  • 2. Fields
  • 3. Vector spaces over a field
  • 4. Algebras over a field
  • 5. Linear independence and dimension
  • 6. Linear transformations
  • 7. The endomorphism algebra of a vector space
  • 8. Representation of linear transformations by matrices
  • 9. The algebra of square matrices
  • 10. Systems of linear equations
  • 11. Determinants
  • 12. Eigenvalues and eigenvectors
  • 13. Krylov subspaces
  • 14. The dual space
  • 15. Inner product spaces
  • 16. Orthogonality
  • 17. Selfadjoint endomorphisms
  • 18. Unitary and normal endomorphisms
  • 19. Moore-Penrose pseudoinverses
  • 20. Bilinear transformations and forms.