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Article

Example of the matrix of size 6 × 6 with different tropical rank and Kapranov rank

Moscow University Mathematics Bulletin. 2011. Vol. 66. No. 5. P. 227-229.

We present an example of a 6 × 6 matrix A such that rk t (A) = 4, rk K (A) = 5. This disproves the conjecture formulated by M. Chan, A. Jensen, and E. Rubei.