Professor Judi McDonaldFAIZAH DHAMI ALANAZI2022-06-022022-06-02https://drepo.sdl.edu.sa/handle/20.500.14154/63250The symmetric nonnegative inverse eigenvalue problem is to determine when a set of n real numbers is the spectrum of an n x n symmetric nonnegative matrix. In particular, necessary and sufficient conditions are sought. For n less than or equal to 4, the inverse eigenvalue problem for nonnegative symmetric matrices is completely solved. However, the problem still open for n = 5 and above. Our purpose is to discuss this problem for nonnegative symmetric matrices of order n = 6.en