Tala H. Sasa, Results for Normal Matrices and Majorization Inequalities for their Eigenvalues, Journal of Engineering and Applied Sciences, Volume 14,Issue 21, 2019, Pages 7889-7891, ISSN 1816-949x, jeasci.2019.7889.7891, (https://makhillpublications.co/view-article.php?doi=jeasci.2019.7889.7891) Abstract: In this study, we introduce and study some of the classical results to normal matrix case and give generalization for Lemma 2.5.2 by Horn and Johnson and put special emphasis on majorization inequalities for eigenvalues of normal matrices. Keywords: generalization;doubly stochastic matrices;majorization;Normal matrices;eigenvalues;special emphasis