For the next topic, we considered connected systems. Think of this as a micro-internet consisting of 5 web pages with connections as shown (note that the drawing system uses double-headed arrows instead of the two arrows going in each direction). 0 9'0 For the probabilities, assume that there is an equal chance to leave via any arrow leaving a page. This leads to the following matrix M where the row 2'. column 3' entry mij is the probability of going from page 2' to page j in one step. 0 0.5 0.5 0 0 0.25 0 0.25 0.25 0.25 M = 0.5 0.5 0 0 0 0 0 0 0 1 0 0 0 1 0 By construction, the sum of the entries in each row is 1. The kth power of the matrix, M i\1 2 4