The undergrad "Advanced Linear Algebra" course I took got a little out of hand. Giant festering mass of theory. Plus cognitive dissonance from taking a numerical computing course at the same time, and at some point getting hit with the shocking realization that the Jordan normal form is numerically useless ("discontinuous whenever it is interesting" --Kahan). But that course was not the best-taught in the world anyway. Students to prof (moonlighting over from Claremont Graduate School): "You just read proofs out of the book onto the blackboard. You kinda suck." Prof (moonlighting over from Claremont Graduate School) to students: "They're not paying me very much to teach this course."

Hm, I seem to have lost the $70 little textbook. Or did I possibly lend it to anyone around these parts? (Horn and Johnson, Matrix Analysis?) I wouldn't mind looking at the part about unitary and normal matrices.