Based on the teaching of Matrix Analysis，the status of application teaching in college mathematics education is discussed. By combining the teaching with scientific research and selecting proper application examples, adopts the methods of "Leading the teaching by problem" and"inserting application examples in theory teaching" to improve students' interests to apply what they learn and to train their independent thinking and hands-on abilities. The teaching practices show that this method can increase the students' interests of study and avoid the weary phenomena in studying.