Suppose that a Markov chain has the following transition matrix, which you can copy and paste directly into Matlab.

A = [0.1357 0.1258 0.4003 0.2115 0.3502;0.2075 0.2522 0.1573 0.0395 0.0112;0.2309 0.2555 0.0072 0.107 0.198;0.1188 0.0432 0.3795 0.3132 0.3407;0.3071 0.3233 0.0557 0.3287 0.0999]

Find the steady state vector and use it to determine the proportion of time (in the long run) that the process spends in State 3.