  A permutative matrix is a square matrix such that every row is a permutation
of the first row. A constructive version of a result attributed to Suleimanova
is given via permutative matrices. In addition, we strengthen a well-known
result by showing that all realizable spectra containing at most four elements
can be realized by a permutative matrix or by a direct sum of permutative
matrices. We conclude by posing a problem.
