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Quadratic forms

FilipVz

New member
Oct 21, 2013
8
On the basis of the eigenvalues of A, classify the quadratic surfaces
X'AX+BX+k=0
into ellipsoids, hyperboloids, paraboloids and cylindres.

Can somebody help me to solve the problem?
 

Klaas van Aarsen

MHB Seeker
Staff member
Mar 5, 2012
8,779
On the basis of the eigenvalues of A, classify the quadratic surfaces
X'AX+BX+k=0
into ellipsoids, hyperboloids, paraboloids and cylindres.

Can somebody help me to solve the problem?
Hi FilipVz, welcome to MHB! :)

That is a pretty generic question.
The best I can do is to refer you to the relevant wiki article about Quadrics.