W. B. Vasantha Kandasamy, Florentin Smarandache
In this book authors for the first time introduce the notion of distance between any two m x n matrices. If the distance is 0 or m x n there is nothing interesting. When the distance happens to be a value t; 0 < t < m x n the study is both innovating and interesting. The three cases of study which is carried out in this book are: 1. If the difference between two square matrices is large, will it imply the eigen values and eigen vectors of those matrices are distinct? Several open conjectures in this direction are given. 2. The difference between parity check matrix and the generator matrix for the same C(n, k) code is studied. This will help in detecting errors in storage systems as well as in cryptography. 3. Finally this concept of difference in matrices associated with fuzzy models can be implemented in the study of the deviance or closeness of the expert on any common problem. Thus in this book the notion of difference in matrices is applied to different sets of problems which is both innovative and interesting. Several open conjecture makes this book a boon to any researcher.
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