>"I don't have a good intuition for determinants, therefore they are wrong and stupid."Wtf was his problem?
Early life and childhood
determinants understood as the multilinear notion of volume makes them easy to understand and explains all the confusing math with fundamental principles that are easy to graspi have no fucking clue why they are taught as some magical incantation in basic linear algebra classes. exterior algebra is easy to understand.
>>16490225I don't know why he's like this but I personally love determinants. It's one of the most useful and most beautiful objects in mathematics that shows up everywhere, in algebraic topology, in differential geometry, in algebra, etc.It also goes hand in hand with the existence of the signature homomorphism S_n -> {-1,1} of the symmetric group, and the existence of the alternating groups A_n. You can prove the existence of these group theoretic objects using determinants and vice versa, but neither of them is really trivial to prove on their own.As such, it's a very useful and beautiful construction that is made possible by one of the very first nontrivial theorems in group theory.
he be right doe
>>16490283>A_n. You can prove the existence of these group theoretic objects using determinants and vice versa, but neither of them is really trivial to prove on their own.yeah so it's not constructive maths, it's voodoo maths