Discriminant - Wikipedia, the free encyclopedia

My questions are in the topic "Discriminant of a polynomial".

How to prove that the $\displaystyle discriminant$ of a polynomial $\displaystyle P(x)$ is equal to the $\displaystyle determinant$ of the (2n− 1)×(2n− 1) matrix.

And why the the $\displaystyle determinant$ of this (2n− 1)×(2n− 1) matrix is equal to the $\displaystyle resultant$ of $\displaystyle P(x)$ and $\displaystyle P'(x)$.

Please give me some hints or tell me where I can find the detail proofs.

Thank You!!!