Applications of Linear Algebra in Genetics

Kumari, Mausam; Kavya, H U; Bhavsar, Y.N.

doi:10.30876/johr.6.4.2018.236-240

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“…Genetics is a branch of biology that studies the inheritance from one generation to the next generation. For example, Gregor Mendel, the father of genetics, studied inheritance by conducting a cross-experiment on peas to determine the genotype distribution of certain traits in a population (Kumari et al, 2018).…”

Section: Introductionmentioning

confidence: 99%

An Analysis Genotype Inheritance in a Trihybrid Cross by Applying a Diagonalization of Matrix Method

Azis

Syanur

Amanto

et al. 2022

DJM

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This research aimed to find out the formulation of inheritance to know the genotype of the n-th generation in trihybrid crosses with controlled parent genotypes and analyze them by applying the diagonalization of a matrix. Matrix diagonalization makes it easier to find out the inheritance genotype of the n-th generation in trihybrid to obtain superior offspring compared with crossing it one by one, which requires a lot of time and cost. Based on the analysis, an equation for the probability of inheritance was obtained for 27 genotypes of the n-th generation, and the resulting offspring in an infinite generation are likely to have the TTKKBB genotype.

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Section: Introductionmentioning

confidence: 99%