Introduction: Group cooperative learning is a new teaching method, which makes the traditional, single and passive teaching methods become new, diverse and active teaching methods, and the teaching contents and teaching process are also from presupposition and closure to generation and openness. Such teaching methods can better cultivate students' innovative spirit and practical ability. This paper introduces the group cooperative learning mode into the teaching of linear algebra class, through teaching practice and investigation and research, we find some problems in the process of advancing, and think positively about these problems, and give effective solutions, which can provide a powerful guarantee for the wide application of group cooperative learning.