1. The problem statement, all variables and given/known data Suppose that the initial vector P0 is not given and instead we are given that at time t=299 the state vector is P_299=[.1 .1 .8]. Than find P_300, the state vector at time t=300 2. Relevant equations I also know from the problem it is referencing that the transition matrix is: [.3 .4 .3] T= [.5 0 .5] [.5 .5 0] 3. The attempt at a solution I thought I would just set up the equation as such: P_299=P0 * T^299 and just take the inverse of T^299 and multiply it by P_299 to get the P0, then use that to find P_300, but my graphing calculator won't even calculate the 299th power of the transition matrix, so there must be another way to do this. Any help would be great!