#[Steady state vector][Vector de estado estable]#
If $P$ is the transition matrix for a Markov system, and if $v ={}$[x, y, z, ...] (as many unknowns as states in the Markov system) is a distribution vector with the property that
$vP = v$,
then we refer to $v$ as a steady state (distribution) vector.
#[Some for you][Algunos para ti]#
#[Let][Sea]# $P ={} $%0
#[For $v = [x, y, z]$ to be a steady-state vector for the Markox system determined by $P$, $x, y$, and $z$ should satisfy the following equations:][Para que $v = [x, y, z]$ sea un vector de estado estable para el sistema Markox determinado por $P$, $x, y$ y $z$ deben satisfacer las siguientes ecuaciones:]#
(#[Enter the equations in the form $ax + by + cz = d$ and in the order stated.][Ingresa las ecuaciones en la forma $ax + by + cz = d$ y en el orden especificado.]#)
(#[Enter fractions or decimals accurate to at least four decimal places.][Ingresa fracciones o decimales con una precisión de al menos cuatro decimales.]#)