Paraboloid


$$f(x,y) = x^2 + y^2$$
![](https://www.notion.so/image/https%3A%2F%2Fs3-us-west-2.amazonaws.com%2Fsecure.notion-static.com%2F58ec4251-8c10-4d72-90d3-b267d694131d%2FUntitled.png?table=block&id=165e6718-7e4a-46aa-a651-005d52666543&cache=v2)
if we slice at some z then → [Circle](https://texonom.com/circle-ee04d780f37b4376ae197ea28a8e9a1e) 
[Eigenvector](https://texonom.com/eigenvector-d2424f7eaea4443d81105606ebf4e975) 








