Abstract

CONSTRUCTION OF VECTOR SPACE USING PERMUTATION PATTERNS

M. S. Magami?, O. U. Amama??, A. I. Garba

---

In this paper, Vector space is constructed from a set of permutations. Appropriate field, bases, dimension and span are found by testing the various Vector space axioms. Moreover, it is shown that some vectors from the span are linearly dependent and that every vector in the Vector space is linearly dependent. Our results generalize and improve the results in the literature.

PDF