This article presents a selection of works considered relevant for the teaching of linear algebra through plausible reasoning both in engineering careers and in other research areas. We considered works in which an exhaustive study is made on the teaching of algebra through the North American school, others from the European school and another selection of schools from the rest of the world, then a small selection of works that are related to plausible reasoning in the teaching of mathematics is made, only one work is found where the teaching of linear algebra is related to plausible reasoning.
Key words: State of the art, linear algebra teaching, plausible reasoning.
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