On tropical and Kapranov ranks of tropical matrices

Abstract

We prove that, for any g greater or equal than 3, a matrix g x 5 with tropical rank 3 has Kapranov rank 3.

12 pages, third version equal to the second, I added only a note with a reference

References in corpus (2)

• Tropical Arithmetic and Tropical Matrix Algebra
• The Tropical Rank of a Tropical Matrix

Cited by in corpus (1)

• The 4x4 minors of a 5xn matrix are a tropical basis