ABSTRACT
This chapter discusses the role of determinants in matrix algebra. It helps the reader to decide when a matrix is non-singular, calculate the inverse of a non-singular matrix by the formula, and list the elementary row transformations. The chapter assists in calculating the inverse of a non-singular matrix using row transformations and applying the method of systematic elimination to solve simultaneous equations. Although the formula for the inverse of a square matrix is very useful, there is a procedure which can often be used to obtain the inverse more quickly. This procedure is known as the method of row operations. The chapter also demonstrates how to solve a practical problem involving a binary code.
