# Linear Equations

We will be looking at a common application of linear algebra in sociology and psychology, the domination matrix. Click on the links below and read through the descriptions of these applications:

Domination Matrix, Retrieved February 29, 2008, from http://media.pearsoncmg.com/aw/aw_lay_linearalg_3/cs_apps/dominance.pdf

Graph Theory and Dominance Matrices, Retrieved February 29, 2008, from http://users.wpi.edu/~vadim/LA_I/Projects/project1.html

Do a google.com search using terms like Mathematical Sociology or Mathematical Sociology Linear Algebra and find at least two other webpages where linear algebra is used to model sociological or psychological phenomena. Then write a two to three page paper addressing the following issues:

How realistic are these models?

Do these models give you insights into dominance and similar phenomena that non-mathematical approaches would not?

Do these models simplify complex phenomena in useful ways?

What do these models leave out?

How could these models be improved?

#### Solution Preview

Description: The solution is comprised of inline answers to the major questions

Addressed in the problem as well as links to pertinent research papers.

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Brief Description: we will be looking at a common application of linear algebra in sociology and psychology, the domination matrix. Click on the links below and read through the descriptions of these applications:

Domination Matrix, Retrieved February 29, 2008, from

http://media.pearsoncmg.com/aw/aw_lay_linearalg_3/cs_apps/dominance.pdf

Graph Theory and Dominance Matrices, Retrieved February 29, 2008, from

http://users.wpi.edu/~vadim/LA_I/Projects/project1.html

Full Problem Description:

Systems of Linear Equations

We will be looking at a common application of linear algebra in sociology and psychology, the domination matrix. Click on the links below and read through the descriptions of these applications:

Domination Matrix, Retrieved February 29, 2008, from

http://media.pearsoncmg.com/aw/aw_lay_linearalg_3/cs_apps/dominance.pdf

Graph Theory and Dominance Matrices, Retrieved February 29, 2008, from

http://users.wpi.edu/~vadim/LA_I/Projects/project1.html

Do a google.com search using terms like Mathematical Sociology or Mathematical

Sociology Linear Algebra and find at least two other webpages where linear

algebra is used to model sociological or psychological phenomena. Then write a

two to three page paper addressing the following issues:

How realistic are these models?

Do these models give you insights into dominance and similar phenomena that non-mathematical approaches would not?

Do these models simplify complex phenomena in useful ways?

What do these models leave out?

How could these models be improved?

Solution Description: ...

#### Solution Summary

The goal of this solution is to assisting writing a paper on the relevance of mathematical modeling of sociological phenomenon. The focus is to relate relevant research in the field of mathematical sociology. References are also provided to further validate the findings.