Linear algebra offers, with calculus, the two main mathematical fields taught in universities. It has an active area for research works in mathematics education in several countries. Linear algebra today serves large and very diverse students. How much emphasis should be placed on proofs? How abstract should the setting be? What contribution can be made by technology? How do students learn linear algebra, and what teaching methods are more effective? In this paper, it is discussed the factors effecting linear algebra by the help of the mathematics education researches.