软代数[0,1]上非零矩阵的广义逆

A generalized inverse of non-zero matrix on Soft Algebra [0,1]

本文在软代数[0,1]上矩阵的schein秩等于其秩的基础上,构造性地证明了[0,1]上任一非零矩阵都存在唯一的广义逆矩阵.

Based on the equality between the schein rank of matrix and the rank of matrix on Soft Algebra [0,1], this paper constructively demonstrates that the unique generalized inverse matrix exists in any non-zero matrix on [0,1].