The book is organised in the following way:
Chapter 1 concentrates on the preliminaries of matrix theory and notation which is found useful throughout the book. In particular, the simple and useful elementary matrix is defined. The vec operator is defined and many useful relations are developed. Chapter 2 introduces and establishes various important properties of the matrix Kronecker product.
Several applications of the Kronecker product are considered in Chapter 3. Chapter 4 introduces Matrix Calculus. Various derivatives of vectors are defined and the chain rule for vector differentiation is established. Rules for obtaining the derivative of a matrix with respect to one of its elements and conversely are discussed. Further developments in Matrix Calculus including derivatives of scalar functions of a matrix with respect to the matrix and matrix differentials are found in Chapter 5.