  Lop\'ez de Medrano-Rin\'con-Shaw defined Chern-Schwartz-MacPherson cycles for
an arbitrary matroid $M$ and proved by an inductive geometric argument that the
unsigned degrees of these cycles agree with the coefficients of $T(M;x,0)$,
where $T(M;x,y)$ is the Tutte polynomial associated to $M$. Ardila-Denham-Huh
recently utilized this interpretation of these coefficients in order to
demonstrate their log-concavity. In this note we provide a direct calculation
of the degree of a matroid Chern-Schwartz-MacPherson cycle by taking its stable
intersection with a generic tropical linear space of the appropriate
codimension and showing that the weighted point count agrees with the Gioan-Las
Vergnas refined activities expansion of the Tutte polynomial.
