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Linear Algebra
This self-contained textbook takes a matrix-oriented approach to linear algebra and presents a complete theory, including all details and proofs, culminating in the Jordan canonical form and its proof. Throughout the development, the applicability of the results is highlighted. Additionally, the boo...
| Clasificación: | Libro Electrónico |
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| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2015.
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| Edición: | 1st ed. 2015. |
| Colección: | Springer Undergraduate Mathematics Series,
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| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- Linear Algebra in every day life
- Basic mathematical concepts
- Algebraic structures
- Matrices
- The echelon form and the rank of matrices
- Linear systems of equations
- Determinants of matrices
- The characteristic polynomial and eigenvalues of matrices
- Vector spaces
- Linear maps
- Linear forms and bilinear forms
- Euclidean and unitary vector spaces
- Adjoints of linear maps
- Eigenvalues of endomorphisms
- Polynomials and the Fundamental Theorem of Algebra
- Cyclic subspaces, duality and the Jordan canonical form
- Matrix functions and systems of differential equations
- Special classes of endomorphisms
- The singular value decomposition
- The Kronecker product and linear matrix equations.