Finite-Dimensional Linear Algebra

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Some Problems Posed on Vector SpacesLinear equationsBest approximationDiagonalizationSummaryFields and Vector SpacesFields Vector spaces Subspaces Linear combinations and spanning sets Linear independence Basis and dimension Properties of bases Polynomial interpolation and the Lagrange basis Continuous piecewise polynomial functionsLinear OperatorsLinear operatorsMore properties of linear operatorsIsomorphic vector  Read more...

Author(s): Gockenbach, Mark S.
Series: Discrete mathematics and its applications.
Publisher: CRC Press
Year: 2010

Language: English
Pages: 666
City: Hoboken
Tags: Математика;Линейная алгебра и аналитическая геометрия;Линейная алгебра;

Preface
About the author
1. Some problems posed on vector spaces
2. Fields and vector spaces
3. Linear operators
4. Determinants and eigenvalues
5. The Jordan canonical form
6. Orthogonality and best approximation
7. The spectral theory of symmetric matrices
8. The singular value decomposition
9. Matrix factorizations and numerical linear algebra
10. Analysis in vector spaces
A. The Euclidean algorithm
B. Permutations
C. Polynomials
D. Summary of analysis in R
Bibliography