Counting and properties of semi magic squares 6x6

Abstract

In this paper, we consider this type of the classical semi magic squares 6 6 having the four corner property, namely the semi squares, We list counting of this type . We present the general form of this type. We classified the set of squares according to their eigenvalues and determinant. We give an example to each class in our classification. In each example we give the basis of the nullspase of the square as well as the eigenvalues and the determinant of this square. Our calculations and proofs are based on applying the theorems and methods of a linear algebra and computer programs, specially designed for matrix calculations.