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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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This note was uploaded on 10/12/2009 for the course MATH 136 taught by Professor Staff during the Spring '08 term at University of Washington.
- Spring '08