Frank D. Uhlig published in a recent issue of this journal (ESM 50.3) a very interesting article about the question of proof in linear algebra. We have been doing research in the field of mathematics education about the teaching of linear algebra since the 1980s. In this paper, we want to underline the common points in Uhlig's approach and some of our work. We also want to bring a new light of some of his ideas and give perspective for a further didactical development of Uhlig's first experiments.