I identify the Batalin-Vilkovisky differential from the noncommutative Batalin-Vilkovisky formalism, introduced in my “Modular operads and Batalin-Vilkovisky geometry” paper, with the de Rham differential on super matrix spaces. This allows, in particular, to calculate the cohomology of the noncommutative Batalin-Vilkovisky differential. As a consequence I prove that the supersymmetric matrix model lagrangians from my “Noncommutative Batalin-Vilkovisky geometry and matrix integrals” paper represent equivariantly closed differential forms on the supermatrix spaces.