Rife, Susan A.
Rasmussen, Craig W.
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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.
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Delatorre, Anthony R.; Cooke, William K. (Monterey, California. Naval Postgraduate School, 1998-06);This thesis is designed to act as an instructor's supplement for refresher matrix algebra courses at the Naval Postgraduate School (NPS). The need for a beginning matrix algebra supplement is driven by the unique circumstances ...
Computer aided instruction design issues: the development of a portable microcomputer-based CAI for statistics instruction Henderson, Randall L. (1985-09);The primary focus of this thesis is the development of a portable microcomputer-based software package to aid in the instruction of a graduate level introductory statistics course. In order to accomplish this objective ...
Yan, Hui; Ross, I. Michael; Fahroo, Fariba (The American Institute of Aeronautics and Astronautics (AIAA), 2001-06-25);We develop state feedback control laws for linear time-varying systems with quadratic cost criteria by an indirect Legendre pseudospectral method. This method approximates the linear two-point boundary value problem to a ...