Matrix and Determinant: Fundamentals and Applications

✍ Scribed by Nita H. Shah; Foram A Thakkar

• Publisher: CRC Press
• Year: 2020
• Tongue: English
• Leaves: 85
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

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