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This paper introduces a novel generalized concept of higher order heart-oriented rhotrix multiplication expression. The multiplication method we adapted is intended to maintain the unique properties associated with the initial definition of rhotrix. The special multiplication process can be used to solve various problems involving n x n rhotrices multiplication. Most importantly a generalized expression for representing n-dimensional rhotrix in a computational environment is presented. Sequential computational algorithm for higher order rhotrices multiplication is designed to buttress the mathematical expression, axioms and logic presented in this paper. . General Terms Linear Algebra, Matrix theory, Algorithms Keywords Rhotrix heart, N-dimensional Rhotrix, Main Entries, Rhotrix Multiplication. 1. INTRODUCTION Rhotrix is a new area of study relating to linear mathematical algebra. Rhotrix is defined as mathematical arrays which are, in some ways, between (2 x 2) and (3 x 3)-dimensional matrices, and denoted matrix-tertions and noitrets [1]. Rhotrices multiplication was introduced and defined by [2], and an alternative method for multiplication of rhotrices as coupled matrices was given by [3]. This method was further given a generalization for n-dimensional rhotrices in [4]. Their work was basically an idea that offers exercises for mathematical enrichment. A set of rhotrices of dimension three was defined in [2] and extension in the dimension was considered possible. For instance a set of rhotrices of dimension five can be defined as It should be noted that, the general concept of rhotrices is still

Generalization of Heart Oriented Rhotrix Multiplication and its Algorithm Implementation