Electronic Journal of Differential Equations, Vol. 2013 (2013), No. 50, pp. 1-13. Title: Uniqueness of solutions to matrix equations on time scales Author: Atiya H. Zaidi (The Univ. of New South Wales, Sydney, Australia) Abstract: In this article we establish the uniqueness of solutions to first-order matrix dynamic equations on time scales. These results extend the results presented in [16], to more complex systems of nXn matrices. Following the ideas in [5, Chap 5], we identify Lipschitz conditions that are suitable for generalizing nXn models on time scales. Submitted November 14, 2012. Published February 18, 2013. Math Subject Classifications: 34N05, 26E70, 39B42, 39A12. Key Words: Matrix equations; matrix dynamic equations; first order dynamic equations; time scales.