Consider two quadratic forms:
$Q(x,y,z,w)=x^{2}+y^{2}+z^{2}+bw^{2}$ and
$P(x,y,z,w)=x^{2}+y^{2}+czw$.
I am only interested in the case when are p and q congruent over $\mathbb{C}$ as I have done the case over $\mathbb{R}$.
This question was part of my linear algebra assignment and I was unable to find a theorem which could be used for $\mathbb{C}$ so I thought of posting it here.
Kindly tell me how to solve this question and which result you are using.