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Application of Linear Algebra in Genetics

Our aim is to show how linear algebra can be used to predict the genotype distribution of a particular characteristic in a population after any number of generations from only the genotype distribution of the initial population. There are several modes of inheritance; however, this project will focus only on autosomal inheritance.

We have created a program in Python (Without using any Library) that allows users to know the genotype distribution of a particular characteristic of a specific animal, human or any living organism. This will help users to get the perfect pair of parents which will give desired offspring they wanted. In order to perform such an analysis, we will use several advanced concepts from linear algebra, such as: Difference equations, diagonalization of a matrix, inverse of a matrix, eigenvalues, and eigenvectors.

PROGRAM FLOWCHART

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RESULT GENERATED AFTER EXECUTION

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