In a 100-acre region, there are three categories of land: grassland, shrubland and forest.
Every 5 years, 20% of grassland becomes forest, 45% of grassland becomes shrubland, 40% of shrubland becomes forest, 30% of shrubland becomes grassland and 55% of forest becomes grassland. Construct a Markov matrix for the change in category in this region. It will be a 3-by-3 Markov matrix.