Matrices in Engineering Problems

A native Utahn (Salt Lake), Marvin J. Tobias graduated in Mechanical Engineering (ME) from the University of Utah. He joined the General Electric Company and began a series of rotating assignments through various Departments in the East, initially in the General Engineering Laboratory, then in the Jet Engine Department. In the fall, Marv successfully applied for a three year intensive training program; the Advanced Engineering Program. During the latter years of the program his assignments were in radar signal and data processing. Assignments in both ME and EE proved the need for further education and training in mathematics, so the middle year (B course—applied mathematics) was particularly interesting. Over the years, Marv became a lecturer for the B course, developing many notes on matrix algebra and calculus. As the PC became more powerful, with sophisticated word processing and graphics software, those notes became the content of this book.

• Matrix Fundamentals.- Determinants.- Matrix Inversion.- Linear Simultaneous Equation Sets.- Orthogonal Transforms.- Matrix Eigenvalue Analysis.- Matrix Analysis of Vibrating Systems.