A simple estimation of the maximal rank of tensors with two slices by   row and column operations, symmetrization and induction
  The determination of the maximal ranks of a set of a given type of tensors is a basic problem both in theory and application. In statistical applications, the maximal rank is related to the number of necessary parameters to be built in a tensor model. Based on this classical theorem by Bosch we will show the tight bound for 2 x n x n tensors by simple row and column operations, symmetrization and mathematical induction, which has been given by several authors based on eigenvalue theories. 
Toshio Sakata, Toshio Sumi and Mitsuhiro Miyazaki