Several aspects of magic square studies fall within the computations all universes. Experimented computation has reverted patterns, some of which have lead to analytic insight. With the aid of arithmetic modular and the properties of it, we get magic squares, also we use the algebraic operations of matrices which are addition, subtraction, multiplication, transpose, rotation, and reflection, then discuss the results that we are obtained, the eigenvalues of these magic squares are also computed and we get some magic squares with the same eigenvalues, the inverse of the magic squares which are found by using arithmetic modular are also magic squares. An example with order 3 of magic square is given to explain our results.