Date of Award

5-1996

Degree Type

Thesis

Degree Name

Departmental Honors

Department

Mathematics and Statistics

First Advisor

Fred B. Bel

Abstract

Eigenvalues are useful in various areas of mathematics, such as in testing the critical values of a multi variable function to see if it is a local extrema. One of the more common ways to define eigenvalues is:

Definition (1): Given that A is an n by n matrix, λ is an eigenvalue of A if and only if det(A - λIn) = 0. Any nonzero vector in Null(A - λI) is called an eigenvector associated with λ.

Included in

Mathematics Commons

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