Application of Diagonalised Rhotrix to Solution of System of Differential Equations

Since the introduction of rhotrices, there are so many studies on the concept in relations to matrices, abstract structures, quadratic forms etc. The choice of diagonalization of rhotrix to solve the systems of differential equation was eminent. In this paper, the eigenvalues, eigenvectors and diagonalization of rhotrices were presented. A brief review of the system of ordinary differential equation and its solution was also presented; finally, various systems of ordinary differential equations were examined with regard to diagonalized rhotrices.