Matrices
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The Theory of Matrices
Matrix algebra; Determinants, inverse matrices, and rank; Linear, euclidean, and unitary spaces; Linear transformations and matrices; Linear transformations in unitary spaces and simple matrices; The jordan canonical form: a geometric approach; Matrix polynomials and normal forms; The variational method; Functions of matrices; Norms and bounds for eigenvalues; Perturbation theory; Linear matrices equations and generalized inverses; Stability problems; Matrix polynomials; Nonnegative matrices.
Vectors, Matrices and Geometry
Author: K.T. Leung
language: en
Publisher: Hong Kong University Press
Release Date: 1994-08-01
This book is the last volume of a three-book series written for Sixth Form students and first-year undergraduates. It introduces the important concepts of finite-dimensional vector spaces through the careful study of Euclidean geometry. In turn, methods of linear algebra are then used in the study of coordinate transformations through which a complete classification of conic sections and quadric surfaces is obtained. The book concludes with a detailed treatment of linear equations in n variables in the language of vectors and matrices. Illustrative examples are included in the main text and numerous exercises are given in each section. The other books in the series are Fundamental Concepts of Mathematics (published 1988) and Polynomials and Equations (published 1992).
An Introduction to Matrices, Sets and Groups for Science Students
Author: G. Stephenson
language: en
Publisher: Courier Dover Publications
Release Date: 1986-01-01
Concise, readable text introduces sets, groups, and, most importantly, matrices to undergraduate students of physics, chemistry, and engineering. Each chapter contains worked examples and many problems with answers. 1974 edition.
