ABSTRACT COVID-19, since its discovery in 2019, has posed a major health problem in the world. It is caused by the SARS-CoV-2 virus and is transmitted via infected respiratory droplets and contaminated surfaces. There is an urgent need to understand the transmission characteristics of the virus in response to social interventions. This is important to […]
Category Archives: Mathematics project topics and materials
APPLICATION OF MATRICES TO REAL LIFE PROBLEMS
CHAPTER ONE INTRODUCTION AND LITERATURE REVIEW INTRODUCTION Matrices and determinants were discovered and developed in the 18th and 19th centuries. Initially, their development dealt with transformation of geometric objects and solution of systems of linear equations. Historically, the early emphasis was on the determinant, not the matrix. In modern treatment of Linear Algebra, matrices are […]
APPLICATION OF MATRICES IN THE ANALYSIS OF TIME AUTONOMOUS SYSTEM
CHAPTER ONE INTRODUCTION AND LITERATURE REVIEW 1.1 BACKGROUND OF THE STUDY The introduction and development of the notion of a matrix and the subject of linear algebra followed the development of determinants, which arose from the study of coefficients of systems of linear equations. Leibnitz, one of the founder of calculus, used determinant in 1963 […]
ALGEBRAIC STUDY OF RHOTRIX SEMIGROUP
ABSTRACT In this thesis, we present an algebraic study of “rhotrix semigroup”. We identify the properties of this semigroup and introduce some new concepts such as rhotrix rank and rhotrix linear transformation in order to characterize its Green‟s relations. Furthermore, as comparable to regular semigroup of square matrices, we show that the rhotrix semigroup […]