A given plant species has red, pink, or white flowers according to the genotypes RR, RW, and WW, respectively. If each of these genotypes is crossed with a red-flowering plant, the transition matrix is

If each generation of the plant is crossed only with red plants to produce the next generation, show that eventually all the flowers produced by the plants will be red. (Find the limiting matrix.)

Transcribed Image Text:

Next generation Red Pin White Red 1 This Pink .5 .5 generation White 0 1