In this note, we give a simple counterexample to a version of Farkas' Lemma for multilinear forms, and provide an elementary proof of a positive result for a special case. We also mention some remaining open problems.
"Farkas' Lemma and Multilinear Forms." Missouri J. Math. Sci. 21 (1) 65 - 67, February 2009. https://doi.org/10.35834/mjms/1316032682