Normal to what
OPs basic
Wtf is an eigenspace. I just learned about eigen vectors 💀
I mean I can guess I suppose
I, a mere mortal, have no idea what the fuck this meme is talking about and I am slightly afraid. This sounds like Deep Math™️
did you learn about eigenvectors? or did you just memorize what you needed to pass linear algebra?
I “learned” about them for quantum computing (I think that’s mostly linear algebra). I was kind of disappointed they’re just vectors I somehow expected them to do something weird (based off the name).
My experience with eigenstuff has been kind of a slow burn. At first it feels like “that’s it?”, then you do a bunch of tedious calculations that just kind of suck to do… But as you keep going they keep popping up in ways that lead to some really nice results in my opinion.
I guess it’s the same for me but I just kind of think of it as vector stuff not eigen* stuff.
I learned enough about eigenvectors to handle differential equations lmao. Never took linear algebra
I did watch the 3blue1brown series on linear algrebra tho
Later back at the lab, after trusting this guy, all the boys with their white robes and clipboards scratching their heads: “The Eigenvalue is off the charts!”
After having looked them up they don’t seem that bad. Am I missing something?
Eigenvectors, values, spaces etc are all pretty simple as basic definitions. They just turn out to be essential for the proofs of a lot of nice results in my opinion. Stuff like matrix diagonalization, gram schmidt orthogonalization, polar decomposition, singular value decomposition, pseudoinverses, the spectral theorem, jordan canonical form, rational canonical form, sylvesters law of inertia, a bunch of nice facts about orthogonal and normal operators, some nifty eigenvalue based formulas for the determinant and trace etc.
[ X ] Doubt
I will only ever give you nilpotent matrices
degenerate ❤️ singular 💜 defective 🖤
