Why teach linear algebra before abstract algebra ...
math.stackexchange.com › questions › 717651Mar 20, 2014 · Problems in linear algebra can be written first to sound semi-physical or geometric, and then to make reference to concepts that were taught in such problems, and then to be fully abstract. By the end of a linear algebra course, students should have at least some foundation for thinking abstractly, as well as a big list of familiar references that will recur in abstract algebra.
Elements of Abstract and Linear Algebra - Miami
www.math.miami.edu › ~ec › bookgood reasons for this. First, linear algebra has top priority. It is better to go forward and do more linear algebra than to stop and do more group and ring theory. Second, it is more important that students learn to organize and write proofs themselves than to cover more subject matter. Algebra is a perfect place