A SIMPLE PROOF OF THE GALE-RYSER THEOREM

1. Herstein, I. N., Topics in Algebra, Ginn and Company, Waltham, 1964, p. 162. 2. Hoffman, K. and Kunze, K, LinearAlgebra, 1st ed., Prentice Hall, Englewood Cliffs, N.J., 1961. 3. Gantmacher, F. R., The Theoty of Matrices, Vol. 1, Chelsea, New York, 1960. 4. Lancaster, P. and Tismenetsky, M., The theoty of matrices, second edition, Academic Press, 1985. 5. Roth, W. E., The Equations AX-YB = C and AX XB = C in matrices, Proc. Amer. Math. Soc. 3:392-396 (1952). 6. Turnbull, H. W. and Aitken, A. C., An Introduction to the theoty of Canonical Matrices, Second Impression, Blackie and Sons, 1945.