Let
T = [.20 .17 .25 .20 .10], x = [x₁]
[.25 .20 .10 .30 0] [x₂]
[.05 .20 .10 .15 .10] [x₃]
[.10 .28 .40 .20 .0] [x₄]
[.40 .15 .15 .15 .80] [x₅]
and consider the system of linear equations Tx = x. Collect terms in your equations to get a homogeneous linear system, and write out the five new equations.
