Synopses & Reviews
Synopsis
Matrix Analysis for Scientists and Engineers provides a blend of undergraduate- and graduate-level topics in matrix theory and linear algebra that relieves instructors of the burden of reviewing such material in subsequent courses that depend heavily on the language of matrices. Consequently, the text provides an often-needed bridge between undergraduate-level matrix theory and linear algebra and the level of matrix analysis required for graduate-level study and research. The text is sufficiently compact that the material can be taught comfortably in a one-quarter or one-semester course.
Table of Contents
Preface; 1. Introduction and review; 2. Vector spaces; 3. Linear transformations; 4. Introduction to the Moore-Penrose pseudoinverse; 5. Introduction to the singular value decomposition; 6. Linear equations; 7. Projections, inner product spaces, and norms; 8. Linear least squares problems; 9. Eigenvalues and eigenvectors; 10. Canonical forms; 11. Linear differential and difference equations; 12. Generalized eigenvalue problems; 13. Kronecker products; Bibliography; Index.