The Linear Algebra a Beginning Graduate Student Ought to Know
Linear algebra is a living, active branch of mathematics which is central to almost all other areas of mathematics, both pure and applied, as well as computer science, the physical and social sciences, and engineering. It entails an extensive corpus of theoretical results as well as a large body of...
| Autor principal: | |
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| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Dordrecht :
Springer Netherlands
2007.
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| Edición: | 2nd ed. 2007. |
| Materias: | |
| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009461033006719 |
Tabla de Contenidos:
- Notation and terminology
- Fields
- Vector spaces over a field
- Algebras over a field
- Linear independence and dimension
- Linear transformations
- The endomorphism algebra of a vector space
- Representation of linear transformations by matrices
- The algebra of square matrices
- Systems of linear equations
- Determinants
- Eigenvalues and eigenvectors
- Krylov subspaces
- The dual space
- Inner product spaces
- Orthogonality
- Selfadjoint Endomorphisms
- Unitary and Normal endomorphisms
- Moore-Penrose pseudoinverses
- Bilinear transformations and forms.
