I am fairly new to matrices, especially stochastic matrices. In an effort to become more comfortable with them I am doing working out some problems. One of them that is giving me a hard time is to calculate the characteristic row-vector associated with eigenvalue 1 of the following matrix:
$\begin{bmatrix} .2 & .6 & .2\\ .5 & 0 & .5\\ .25& .5 &.25 \end{bmatrix}$
I am not quite sure how to start this problem out. I have tried reducing the matrix down as well as the transpose of the matrix but neither has proved fruitful so far.