Genetics. 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 Next generation Red Pink White This generation Red Pink White 1 0 0 .5 .5 0 0 1 0 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.)
Genetics. 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 Next generation Red Pink White This generation Red Pink White 1 0 0 .5 .5 0 0 1 0 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.)
Genetics. 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
Next generation
Red
Pink
White
This
generation
Red
Pink
White
1
0
0
.5
.5
0
0
1
0
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.)
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