Accession Number : ADA316035

Title :   Matrix Algebra.

Descriptive Note : Master's thesis,

Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CA

Personal Author(s) : Rife, Susan A.

PDF Url : ADA316035

Report Date : JUN 1996

Pagination or Media Count : 227

Abstract : The purpose of this thesis is to develop a textbook which presents basic concepts of matrix algebra from a primarily computational perspective, for an introductory course in matrix algebra at the Naval Postgraduate School (NPS). The need for an introductory matrix algebra text is generated by the unique characteristics of the student body at NPS. Students at NPS are beginning graduate studies after several years away from the academic environment. As a result, most students benefit from a course which presents fundamental concepts and techniques in solving matrix algebra problems which are needed for advanced studies in mathematics, engineering, and operations research. Current publications in matrix algebra go into more detail on linear algebra than is needed for the introductory course and many texts do not cover complex numbers in sufficient detail to meet the needs of the students. This text presents techniques for solving systems of linear equations, the algebra of matrices, the connection between linear systems and algebraic operations on matrices, and an introduction to eigenvalues, eigenvectors, and complex numbers. The intent is to hone student skills in applying fundamental techniques in matrix algebra essential to success in future courses.

Descriptors :   *MATRICES(MATHEMATICS), LINEAR SYSTEMS, COMPUTATIONS, STUDENTS, EIGENVECTORS, THESES, EIGENVALUES, TRANSFORMATIONS(MATHEMATICS), SOLUTIONS(GENERAL), VECTOR ANALYSIS, COURSES(EDUCATION), COMPLEX NUMBERS, NUMERICAL METHODS AND PROCEDURES, APPLIED MATHEMATICS, ARITHMETIC, NAVAL TRAINING, LINEAR ALGEBRAIC EQUATIONS, TEXTBOOKS.

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE