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asked 2 years ago

Cyrille gravatar image

Is there a way to find the symbolic matrix associated to an expended quadratic form?

Suppose I have a complex quadratic form

Q(px,py)=p2yy2α22pxpyxyαβ+p2xx2β2p2yy2αp2xx2β

Of course all parameters has been declared as variables, that is

var('p_x p_y x y \alpha \beta')

(I use unicode α and β)

Is there a way to find the matrix A such that

Q(p)=pAp ?