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February 11

Multivariate Quadratic Equation

I know that the set of set of solutions of quadratic equation in two variables is a conic section. But what happens in higher dimensions (i.e, n variables)? I guess that we get some generalization of a conic section. Is that true? How to define conic section in higher dimension?

Thanks in advance!

BTW, references will be appreciated :) 31.154.81.58 (talk) 20:39, 11 February 2017 (UTC)[reply]

See Quadric. You might want to look at Projective geometry as well since it allows a more unified treatment of the subject. --RDBury (talk) 22:01, 11 February 2017 (UTC)[reply]