REPRESENTATIONS OF U_3,6AND AG(2, 3)

Abstract

Abstract. One of the main interesting things of a matroid theory is the representability by a matroid from a matrix over some field F. The representability of uniform matroid Um,n over some field are studied by many authors. In this paper we construct a matrix representing U3,6 over the field GF (4). Also we find out matrix of the affine matroid AG(2, 3) over the field GF (4).