Can someone explain to me the concept of a Colleague Matrix. I tried to find some information online and I haven't been able to find anything.
Example..
Given the function $$f (x) = x\bigg(x − {1\over4}\bigg)\bigg(x − {1\over2}\bigg)$$
show that its colleague matrix is given by
$C = \begin{bmatrix}0 & 1 & 0\\{1\over2} & 0 & {1\over2}\\{3\over4} & -{5\over4} & {3\over4}\end{bmatrix}$