Advanced Results with Nth Order Square Matrices

Abstract

In the present research paper, some techniques are obtained to form nth order square matrices from a given matrix of order m x n without calculations by traditional method. Obtained results verify the traditional method. Effort is tried to find number of matrices when number of elements is given (but not order of required matrices) and for the elements of required matrices a selection set is given. The basic design of the study is taken from various competitive examination & variety of problems asked in paper based on Probability, Combinatorics, Matrices & Determinants. The proposed techniques are found useful in present in present time among almost 15 lac students appearing in JEE exam every year and upcoming techniques will be in future also