Linear Algebra and Genetics 1
Linear Algebra and Genetics
Caroline Carr
Math 340, Advanced Linear Algebra Professor Debnath May 3, 2006
Linear Algebra and Genetics 2 Abstract This paper will discuss h
Math 136A, Spring 2008 Instructor: Tom Duchamp Office: Padelford C-505 e-mail: [email protected]
Syllabus TA: Sam Burden Office: Padelford C-115 e-mail: [email protected]
The course m
Linear Algebra in Genetics
Carter Butaud Michael Yamamoto June 5, 2008
1
1
Background:
Biologists often study the genetic makeup of a plant or animal in order to make predictions about its descendants
\documentclass[a4paper,12pt]cfw_article \usepackagecfw_fullpage \usepackagecfw_amsmath % % Commonly used matrixes % % % Per generation probability matrix % for AA genotype \newcommandcfw_\matrixfortwo
Linear Algebra in Genetics
Carter Butaud Michael Yamamoto June 4, 2008
1
1
Problems:
In autosomal inheritance, ospring inherit one gene of the pair belonging to each parent in order to get a pair. For
Math 136A, Spring 2008
Problem Set #4 (due 4/25/2008)
(1) (a) Show that the complex numbers C may be viewed as a 2-dimensional vector space. (b) Let M (2) denote the space of 2 2 matrices, and let L :
Math 136A, Spring 2008
Problem Set #3 (due 4/18/2008)
(1) Let V be the space of infinitely differentiable functions on the interval [0, 1] and let p, q V . (a) Show that the map L : V V defined by L[f
Math 136A, Spring 2008
Problem Set #2 (due 4/11/2008)
(1) Let V denote the set of innitely dierentiable functions on the interval [0, 1]. It is a vector space under the oprations of addition of functi
Math 136A, Spring 2008
Problem Set #1 (due 4/4/2008)
(1) Choose the numbers a, b, c, d, in this augmented matrix so that (a) there is ( no solution (b) there are infiniately solutions to the correspon
Definitions: Allele: One of a number of different forms of a gene Autosomal Inheritance: When a gene is inherited from ones parents, the pair is usually made up of one allele from each parent. Genotyp
Biologists often study the genetic makeup of a plant or animal in order to make predictions about its descendants. In the study of autosomal inheritance, each characteristic studied is taken to be the