In a lecture, there was the question upcoming who coined the term "nonderogatory". I tried to search for it a bit, but the earliest I found so far was by Charles G. Cullen in 1990, which seems not likely.
So the question is:
Who coined/defined the term "Nonderogatory Matrices" / "Derogatory Matrices"?
According to this article by Nick Higham, Sylvester introduced the term derogatory matrix.
This other article also mentions Sylvester, namely an article he wrote in the french Comptes rendus de l'Académie des sciences (v.98, I (1884), pp. 471-475), which can be found on Gallica, here. It starts with:
A rough translation could be