Question 8

The study of Bohemian matrices is a current research topic. A family of Bohemian matrices is a set of

matrices where the entries of the matrices are restricted to a finite set of values, for example, {0,1} or

{-1,0,1}. One is interested in the set of eigenvalues of such a family of matrices. In the Maple code

below I've constructed all 2 by 2 matrices whose entries are 0 or 1. Since a 2 by 2 matrix has 4 entries

and each entry can be a 0 or a 1, there are 24 = 16 such matrices.