Matrix and Determinant: Fundamentals and Applications (Mathematical Engineering, Manufacturing, and Management Sciences)

Description

This book provides a clear understanding regarding the fundamentals of matrix and determinant from introduction to its real-life applications. The topic is considered one of the most important mathematical tools used in mathematical modelling. Matrix and Determinant: Fundamentals and Applications  is a small self-explanatory and well synchronized book that provides an introduction to the basics along with well explained applications. The theories in the book are covered along with their definitions, notations, and examples. Illustrative examples are listed at the end of each covered topic along with unsolved comprehension questions, and real-life applications. This book provides a concise understanding of matrix and determinate which will be useful to students as well as researchers. Cover Half Title Series Page Title Page Copyright Page Table of Contents Preface About the Authors Chapter 1 Matrices 1.1 Introduction 1.2 Types of Matrices 1.3 Operations on Matrices 1.4 Solution of System of Linear Equations Using Matrices 1.5 Elementary Row Operations, Row Reduced Echelon Form and Gauss Elimination 1.5.1 Elementary Row Operations 1.5.2 Row Reduced Echelon Form 1.5.3 Gauss Elimination Multiple-Choice Questions Exercise 1 Answers to Multiple-Choice Questions Answers for Exercise 1 Chapter 2 Determinants 2.1 Introduction 2.2 Minor and Cofactor of Element 2.3 Properties of Determinants 2.4 Solution of Linear Equations by Determinants (Cramer’s Rule) 2.4.1 Solution for a System of Linear Equations in Two Variables 2.4.2 Solution for a System of Linear Equations in Three Variables Multiple-Choice Questions Exercise 2 Answers to Multiple-Choice Questions Answers to Exercise 2 Chapter 3 More about Matrices 3.1 Introduction 3.2 Special Matrices 3.3 Solution of Linear Equations by Matrices 3.4 Eigen Values and Eigen Vectors 3.5 Properties of Eigen Values and Eigen Vectors 3.6 Cayley–Hamilton Theorem Multiple-Choice Questions Exercise 3 Answers to Multiple-Choice Questions Answers to Exercise 3 Chapter 4 Application of Matrices and Determinants 4.1 Introduction to the Application of Matrix in Real Life 4.2 Application of Matrix in Real Life 4.3 Introduction to Application of Determinant 4.4 Application of Determinant Multiple-Choice Questions Answers to Multiple-Choice Questions Bibliography Index