Reduce the quadratic form to the sum of square and identify the type of surface

$$2x^2-4xz+z^2-4yz=4$$

@ganeshie8 @Kainui

Question

Reduce the quadratic form to the sum of square and identify the type of surface

$$2x^2-4xz+z^2-4yz=4$$

@ganeshie8 @Kainui

dan815 · Answer

It says I have to first put it in the inner product form
(x,Ax), A is a matrix and x is a vector x=<x,y,z>

ganeshie8 · Answer

interesting

kainui · Answer

Yeah that's what I'm doing right now. Make a positive definite symmetric matrix out of it.=P

ikram002p · Answer

this is what i can see
y= something /z

dan815 · Answer

Oh can you also explain what positive and negative definitiveness, what that stuff is for

ikram002p · Answer

my first assumption (part of it )
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kainui · Answer

dan815 · Answer

he certainly is the man

ikram002p · Answer

well look for it :3

dan815 · Answer

heres a little something i dont fully understand the x to y transforms

kainui · Answer

Like you mean rotating and stuff?

dan815 · Answer

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