Enrichment exercises through extension to rhotrices

Rhotrix Linear Transformation

“…The concept of rhotrix was introduced by [1] as an extension of matrix-tertions and matrix noitrets suggested by [2]. Since the introduction of rhotrix in [1], many researchers have shown interest on development of concepts for Rhotrix theory that are analogous to concepts in Matrix theory (see [3][4][5][6][7][8][9]). Sani [7] proposed an alternative method of rhotrix multiplication, by extending the concept of row-column multiplication of two dimensional matrices to three dimensional rhotrices, recorded as follows:…”

First Review of Articles on Rhotrix Theory Since Its Inception

“…Construction of certain field of fractions over rhotrices was presented by [9] as an extension to [8]. It was made known in [10] that the rhotrix field in [8] [9] holds only if the set of all hearty rhotrices of size three given in [6] is used as the underlying set.…”

“…The rhotrix operations defined in [1] was adopted by [6] to present various classifications of rhotrices and their expressions as abstract structures of groups, semigroups, monoids, rings and Boolean algebras. The theorem for rhotrix exponent rule was first proposed without proof in [6], thereafter, [7] established and characterized the theorem for rhotrix exponent rule and extended the result to systemization of expressing special series and polynomial equations over rhotrices.…”