Find limiting distribution of transition matrix and plot in R

Question

may I know how I can find and plot the results of the limiting distribution or a unique stationary distribution of a transition matrix in R? (my goal is to have a unique and constant result instead of a random result)

This is the P matrix used:

P=matrix(c(0.2,0.3,0.5,0.1,0.8,0.1,0.4,0.2,0.4),nrow=3,ncol=3,byrow=TRUE)

Answer 1

In your example P ^ 100 results in a matrix with all elements near 0. So this is not a good transition matrix.
In order for a matrix to be a transition matrix, all the columns must sum to 1.