In the first semester of 2022, “Linear Algebra” for first-year students of the Department of Mechanical Engineering was taught in the form of a flipped classroom. The teachers gave the students an assignment before class to watch video contents and organise their notes, and the content of the class was mainly based on exercises. Most of the students who attended the classes did the preparatory work and participated in the classes. Regardless of their basic mathematics ability, 95 % of the students who were not deficient in attendance and work on assignments passed the course. Compared to “Linear Algebra A” in the second semester of 2019, which was in the regular class format, the average final exam score for the classes conducted in this flipped classroom was higher. This is due to a decrease in the number of students with low scores. A questionnaire survey of the students regarding the flipped class revealed that the class format was well received. This is thought to be because the students felt that (1) they could prepare efficiently with the video contents created by the teachers, (2) the preparation led to a better understanding of the learning content, and (3) they could practise the content in class and ask for support from the teachers.