# On Sign-Solvable Linear Systems and Their Applications in Economics

## Location

CSU 202

## Start Date

27-4-2009 10:00 AM

## End Date

27-4-2009 12:00 PM

## Student's Major

Mathematics and Statistics

## Student's College

Science, Engineering and Technology

## Mentor's Name

In-Jae Kim

## Mentor's Department

Mathematics and Statistics

## Mentor's College

Science, Engineering and Technology

## Description

Sign-solvable linear systems are part of a branch of mathematics called qualitative matrix theory. Qualitative matrix theory is a development of matrix theory based on the sign (-, 0, +) of the entries of a matrix. Sign-solvable linear systems are useful in analyzing situations in which quantitative data is unknown or hard to measure, but qualitative information is known, usually based on theory. These situations arise frequently in a variety of disciplines outside of mathematics, including economics and biology. The applications of sign-solvable linear systems in economics are documented and the development of new examples is formalized mathematically. Additionally, recent mathematical developments about sign-solvable linear systems and their implications to economics are discussed.

On Sign-Solvable Linear Systems and Their Applications in Economics

CSU 202

Sign-solvable linear systems are part of a branch of mathematics called qualitative matrix theory. Qualitative matrix theory is a development of matrix theory based on the sign (-, 0, +) of the entries of a matrix. Sign-solvable linear systems are useful in analyzing situations in which quantitative data is unknown or hard to measure, but qualitative information is known, usually based on theory. These situations arise frequently in a variety of disciplines outside of mathematics, including economics and biology. The applications of sign-solvable linear systems in economics are documented and the development of new examples is formalized mathematically. Additionally, recent mathematical developments about sign-solvable linear systems and their implications to economics are discussed.

#### Recommended Citation

Hansen, Eric. "On Sign-Solvable Linear Systems and Their Applications in Economics." *Undergraduate Research Symposium*, Mankato, MN, April 27, 2009.

https://cornerstone.lib.mnsu.edu/urs/2009/oral-session-05/4