Date of Award

8-1966

Document Type

Thesis

Degree Name

Master of Science

Department

Master of Mathematics

Abstract

The theory of matrices plays an integral role in applied and pur® mathematics. In recent years, matrices have become very essential in many different fields of study. They are used in applications in engineering, physics, economics, and many other fields. It is the purpose of this paper to use matrix theory to study systems of first-order linear differential equations with constant coefficients with respect to (l) existence of solution; (2) uniqueness of solution; and. (3) form of solutions.

This study will have the following form: Chapter I will include some basic definitions and notations used in differential equations and matrix theory. Chapter II contains the basic theorems used. Chapter III will show the existence, uniqueness, and form of solutions. Chapter IV Includes applications of systems of first-order linear differential equations with constant coefficients and Chapter V gives the aumbry. The bibliography follows Chapter V.

Committee Chair/Advisor

A. D. Stewart

Publisher

Prairie View Agricultural and Mechanical College

Rights

© 2021 Prairie View A & M University

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Date of Digitization

10/21/2021

Contributing Institution

John B Coleman Library

City of Publication

Prairie View

MIME Type

Application/PDF

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