[MontyCarloHall]

> Case in point, you may not need to use eigenvectors directly in the job, but the concept is so essential in linear algebra and I as a hiring manager would expect a candidate to explain and apply it in their sleep.

Exactly. Whenever eigenvectors come up during interviews, it’s usually in the context of asking a candidate to explain how something elementary like principal components analysis works. If they claim on their CV to understand PCA, then they’d better understand what eigenvectors are. If not, it means they don’t actually know how PCA works, and the knowledge they profess on their CV is superficial at best.

That said, if they don’t claim to know PCA or SVD or other analysis techniques requiring some (generalized) form of eigendecomposition, then I won’t ask them about eigenvectors. But given how fundamental these techniques are, this is rare.