Abstract: Our project involves seeing which sign pattern matrices, matrices that have either +,- or 0 entries, have the Non-Symmetric Strong Multiplicity Property (nSMP). The goal of our project is to characterize nxn sign patterns which require the nSMP, those which allow the nSMP and those which do not allow the nSMP. We have managed to categorize all the matrices of order 2 and order 3 matrices so far.
