International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/699 2020 2020 Faculty of science,, Department,of mathematices,AL- Baath University, Homs,Syria Malath F. Alaswad This paper is dedicated to review some of basic concepts in neutrosophic linear algebra and its generalizations, especially neutrosophic vector spaces, refined neutrosophic and n-refined neutrosophic vector spaces. Also, this work gives the interested reader a strong background in the study of neutrosophic matrix theory and n-refined neutrosophic matrix theory. We study elementary properties of these cocepts such as Kernel, AH-Quotient, and dimension.   2021 2021 104 114 10.54216/IJNS.140204 https://www.americaspg.com/articleinfo/21/show/699