Abstract
In this chapter, we begin by giving some familiar definitions for the sake of completeness and to refresh readers’ memory. We survey the topics of linear algebra that will be needed in the rest of the book. First, we discuss the building blocks of linear algebra: vectors, matrices, linear dependence and independence, determinants, etc. We continue the chapter with an introduction to inverse of matrix, then we use our knowledge of matrices and vectors to develop a systematic procedure (Gaussian elimination method) for solving linear equations, which we then use to invert matrices. Finally, we close the chapter with a short description of the Gauss-Jordan method for solving systems of linear equations. The material covered in this chapter will be used in our study of linearfractional programming.
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