• Vandar Kuzhali .V
• Monika .I
• Ishwarya .D
• Saranya .A

This paper explores how linear algebra can be applied to genetics. We will journey through the fundamental applications of linear algebra in genetics, witnessing how matrices, vectors, and linear equations play pivotal roles in modeling, calculating, and interpreting genetic phenomena. Our aim is to demonstrate how, using only the genotype distribution of the starting population, linear algebra can be used to predict the genotype distribution of a given trait in a population after any number of generations. This paper delves into how linear algebraic techniques aid in understanding hereditary patterns, population genetics, and how linear algebra is used to study autosomal inheritance. By elucidating these applications, the abstract sheds light on the indispensable role of linear algebra in unraveling the complexities of genetics.

Eigen values, Eigen vectors, Diagonalization matrix, Inverse of a matrix, Genotype distribution, Autosomal inheritance and Hardy-Weinberg law.

"Applications Of Linear Algebra In Genetics", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.11, Issue 4, page no.i404-i409, April-2024, Available :http://www.jetir.org/papers/JETIR2404852.pdf

"Applications Of Linear Algebra In Genetics", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.11, Issue 4, page no. ppi404-i409, April-2024, Available at : http://www.jetir.org/papers/JETIR2404852.pdf