Matrix Algebra.

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.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1996
Accession Number
ADA316035

Entities

People

  • Susan A. Rife

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Human Systems

DTIC Thesaurus Topics

  • Applied Mathematics
  • Cartesian Coordinates
  • Complex Numbers
  • Computer Programs
  • Computers
  • Differential Equations
  • Eigenvalues
  • Eigenvectors
  • Engineering
  • Equations
  • Linear Algebra
  • Linear Systems
  • Mathematics
  • Numbers
  • Operations Research
  • Real Numbers
  • United States Military Academy

Fields of Study

  • Mathematics

Readers

  • Business Analytics
  • Linear Algebra
  • STEM Education