theHigherGeometer on Nostr: Here's a thought experiment: given an endomorphism of an arbitrary finite-dimensional ...
Here's a thought experiment: given an endomorphism of an arbitrary finite-dimensional vector space, how do you get its Jordan canonical form, and why is it canonical?
For background reading, try npub1vjs3whs2v8neh326u8k42dx4kthmd8kr6mjrwsmnc2ytr4k6rkzq83vj6n (npub1vjs…vj6n) 's exploration of the trace of an endomorphism viz a viz picking a basis
https://xenaproject.wordpress.com/2021/05/19/the-trace-of-an-endomorphism-without-picking-a-basis/
For background reading, try npub1vjs3whs2v8neh326u8k42dx4kthmd8kr6mjrwsmnc2ytr4k6rkzq83vj6n (npub1vjs…vj6n) 's exploration of the trace of an endomorphism viz a viz picking a basis
https://xenaproject.wordpress.com/2021/05/19/the-trace-of-an-endomorphism-without-picking-a-basis/