Unformatted text preview: made up of the two genes from its parents, with equal probability of having either gene. So a child with one ‘AA’ parent and one ‘aa’ parent could be any of the three combinations, while the descendants of an ‘Aa’ and an ‘aa’ could be either ‘Aa’ or ‘aa’. It is possible to represent the possible descendants of any two parents with a matrix. If we look at a distribution of different gene types to start out with, we can model the probable makeup of the subsequent generations by raising that matrix to a power and then multiplying by the original makeup. Diagonalizing that matrix makes it easy to compute the probable makeup of an arbitrary generation of descendants and, more importantly, to find the limit as those generations approach infinity of the distribution of genes if it exists. References: Linear Algebra with Applications, Gareth Williams Linear Algebra , W W L Chen...
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 Spring '08
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 Eye color

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