Lineare Rekursion/Matrix/Charakteristisches Polynom/Fakt

M = (\begin{matrix} a_{1} & a_{2} & \dots & a_{d} \\ 1 & 0 & \dots & 0 \\ ⋮ & ⋱ & ⋱ & ⋮ \\ 0 & \dots & 1 & 0 \end{matrix})

ist

$χ_{M} = T^{d} - a_{1} T^{d - 1} - a_{2} T^{d - 2} - \dots - a_{d - 1} T - a_{d} .$