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@futurebird With things like Cramer's rule systematizing linear equations, motivation for why we gaf about determinants, why matriz multiplication works the way it does, etc.?
(As a TA, I loved using crypto-category theory to explain linear algebra to second-years, drawing an analogy between studying the real numbers and their metric properties through studying differentiable functions and studying vector spaces through studying linear transformations.)
@futurebird How is linear algebra taught? I learned it as part of the GSCE/A-Level curriculum and it was not taught well - it was taught purely as matrix manipulations and would not be taught as anything else until my *second* college linear algebra course.
@futurebird For what grade? I want to say that I have Opinions about high school math curricula from the perspective of having taught first-year college students and wanting them to have known certain things, but you've taught first-year college students too, probably more than I have.