For Markov chain calculation with a transition matrix P:
attempt to find the stationary distribution using TI Nspire solve function apparently is not appropriate:
But no worry, the question can be solved using the linsolve function because this problem can be broken down into a series of linear equations by the properties of stationary distribution of Markov chain. In TI Nspire, a pop-up menu style wizard will guide through the linear solver:
When finished setting up the template, the equations can be entered directly in the Calculator screen.
A shortcut to this in the TI Nspire can be referenced here as a one-liner making use of matrices operations.