Matrix algebra. Using MINImal MATlab. Incl. 1 disk. (English) Zbl 0817.15001

Wellesley, MA: A. K. Peters,. xvi, 544 p. (1995).
This is a textbook for a two-semester course on matrix algebra for beginners, with the computer integrated into the course by describing the basic algorithms in MINIMAT (Minimal MATLAB) extracted from MATLAB, whose knowledge is not presupposed. A thirty-page introduction to MINIMAT is given in the Appendix and applications for the computer are included throughout the book.
The selection, arrangement, and presentation of the material follows the pattern traditional in a course of that type. This includes the usual matrix operations, subspaces, rank, inner product, norm, Gram-Schmidt, least squares, determinants, eigenvalues, application to differential equations, matrix power series, complex matrices, LU-decomposition, and Jordan normal form, given about in this order. The book contains many exercises in virtually all sections.


15-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to linear algebra
15-04 Software, source code, etc. for problems pertaining to linear algebra
65Fxx Numerical linear algebra
15A21 Canonical forms, reductions, classification
15A03 Vector spaces, linear dependence, rank, lineability
15A60 Norms of matrices, numerical range, applications of functional analysis to matrix theory
15A63 Quadratic and bilinear forms, inner products
15A15 Determinants, permanents, traces, other special matrix functions
15A18 Eigenvalues, singular values, and eigenvectors