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

Authors

  • Dorrah Azis Jurusan Matematika FMIPA Universitas Lampung
  • Marsela Nuvela Syanur Jurusan Matematika FMIPA Universitas Lampung
  • Amanto Amanto Jurusan Matematika FMIPA Universitas Lampung
  • La Zakaria Jurusan Matematika FMIPA Universitas Lampung https://orcid.org/0000-0002-5566-4264

DOI:

https://doi.org/10.24042/djm.v5i3.11955

Keywords:

Diagonalization of matrix, genotype, trihybrid cross.

Abstract

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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Published

20-12-2022