Vectors and Matrices
by Pamela Liebeck
Pergamon | June 1972 | ISBN-10: 0080158234 | PDF | 192 pages | 24.4 mb
https://www.amazon.com/Vectors-Matrices-Pamela-Liebeck/dp/0080158234

Vectors and Matrices provides a progressive approach to vectors and matrices.
The first half of this book is devoted to geometry, introducing matrices through its association with geometry mappings, while the rest of the chapters focus on the importance of matrices in non-geometric situations, such as the theory of linear equations and eigenvector theory. The power of eigenvector theory and its application to some problems in biology, probability, and genetics are also reviewed.
Other topics include the product of scalar and vector, vector equation of a line, linear dependence, three-dimensional mappings, and orthogonal matrices. The transpose of a matrix and vector, rectangular matrices, inverse of a square matrix, and eigenvectors of a matrix are likewise emphasized in this text.
This publication is beneficial to students and researchers conducting work on vectors and matrices.

CONTENTS
PREFACE
CHAPTER 1 - VECTORS AND SCALARS
CHAPTER 2 - THE INNER PRODUCT
CHAPTER 3 - VECTORS IN THREE DIMENSIONS
CHAPTER 4 - GEOMETRY MAPPINGS
CHAPTER 5 - CLASSIFICATION OF TWO BY TWO MATRICES
CHAPTER 6 - CLASSIFICATION OF THREE BY THREE MATRICES
CHAPTER 7 - GENERALISED VECTORS AND MATRICES
CHAPTER 8 - LINEAR EQUATIONS
CHAPTER 9 - EIGENVECTORS
CHAPTER 10 - SOME APPLICATIONS OF EIGENVECTORS
BIBLIOGRAPHY
ANSWERS TO THE EXERCISES
INDEX