| About The Book Matrix And Linear Algebra
The present book, renamed Matrix and Linear Algebra: Aided with MATLAB, is a completely re-organized, thoroughly revised and fully updated version of the authors earlier book Matrix and Linear Algebra.
This second edition of the well-received textbook, propelled by the motivation of introducing MATLAB for the study of the numerical aspect of matrix theory, has been developed after taking into account the recent changes in university syllabi, additional pedagogic features needed, as well as the latest developments in the subject areas of Matrix Algebra and Linear Algebra. The use of MATLAB macros throughout the book is the most interesting feature of this edition. Besides, the second edition significantly improves the coverage of all major topics in the two allied subject areas, such as the topics on matrices, determinants, vector spaces, bilinear transformations, and numerical techniques, that were presented in the first edition.
New to the Second Edition
MATLAB operations (at the end of most chapters)
Square root, sine, cosine, and logarithm of a matrix
Solution of vector-matrix differential equations
Extensively revised presentation of a section on decomposition of root subspaces
Enhanced discussion of many existing topics
Increased numbers of chapter-end problems and worked-out examples
Many redrawn figures for greater clarity
An exhaustive Solutions Manual for instructors teaching this subject.
The book is highly suitable for undergraduate and postgraduate students of Mathematics, Statistics, and all engineering disciplines. It will also be a useful reference for researchers and professionals in these fields.
Table of Contents:
Preface to the First Edition
1 Matrix Algebra
3 Inverse of a Matrix
4 Rank and Equivalence
5 Vector Space
6 Linear Transformation and Matrices
7 Eigenvalues, Eigenvectors and the Characteristic Equation
8 Bilinear, Quadratic and Hermitian Forms
9 Vector Norms and Matrix Norms
10 Normal Forms
11 Linear Transformations and Normal Forms
12 Function of a Matrix
13 Numerical Linear Algebra