Introduction to Optimum Design, 2nd Edition

Appendix B Vector and Matrix Algebra

Matrix and vector notation is compact and useful in describing many numerical methods and derivations. Matrix and vector algebra is a basic tool needed in developing methods for the optimum design of systems. The solution of linear optimization problems (linear programming) involves an understanding of the solution process for a system of linear equations. Therefore, it is important to understand operations of vector and matrix algebra and be comfortable with their notation. The subject is often referred to as linear algebra and has been well-developed for a long time. It has become a standard tool in almost all engineering and scientific applications. In this appendix, some fundamental properties of vectors ...