Date of Award

Summer 1962

Degree Type

Thesis - Restricted

Degree Name

Master of Science (MS)



First Advisor

Hanneken, C.B.

Second Advisor

Swokowski, E. W.

Third Advisor

Pettit, Harvey


If A is a matrix of order & B is a matrix of order B, the direct product, A X B, is a matrix of order & B as defined by C. C. MacDuffee in An Introduction to Abstract Algebra. The question arises as to whether there are any relationships between A X B and A and B, as, for instance, between the characteristic polynomials or between the minimum polynomials of these matrices. The purpose of this thesis is to present some of these relationships with the proof of their existence.