Modelling to find Rank of Matrix when rows are similar / in form of scalar multiple

Abstract

Abstract Here formulas are formed to calculate rank of matrix. By applying it to the problems we can reduce the steps so it save time for calculations. After reducing the matrix to its upper triangular form, the case may occur that we get, row equivalent matrix / rows in the form of scalar multiple of each other, in such case formula (1) is used to find the rank of matrix. Or it may possible that without reduced the matrix to upper triangular form, we get the matrix whose rows are identical or in form of scalar multiple of each other in such case formula (2) is used. In this paper, the problems are solved for computation of rank by different methods and results were compared.