In 1990, the National Science Foundation recommended that every college mathematics curriculum should include a second course in linear algebra. In answer to this recommendation, Matrix Theory: From Generalized Inverses to Jordan Form provides the material for a second semester of linear algebra that probes introductory linear algebra concepts whil
Klappentext
Suitable for the second-semester course in linear algebra, this work creates a bridge from linear algebra concepts to more advanced abstract algebra and matrix theory. It focuses on the development of the Moore-Penrose inverse. It provides MATLAB[registered] examples and exercises as well as homework problems and suggestions for further reading.
Inhalt
The Idea of Inverse. Generating Invertible Matrices. Subspaces Associated to Matrices. The Moore Penrose Inverse. Generalized Inverses. Norms. Inner Products. Projections. Spectral Theory. Matrix Diagonalization. The Jordan Canonical Form. Multilinear Matters.