Transform the Multivariate to Unitevariate System and Using Elimination and Duplication Matrices with Some Applications

Abstract

In this work, we have transformed the multivariate to unitevariate system, and studied the elimination and duplication matrices, using proposed approach depends on some algebra principle. And, a connection has been made between these two matrices with each of the ( υec ) and ( υ ) operators for matrices. Several examples are given to illustrate the applications which is used to define and specialize the elimination and duplication matrices.