The rank of a random matrix

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摘要

This work is concerned with the numerical rank of matrix in the matrix computations. We conclude that a real random matrix has full rank with probability 1 and a rational random matrix has full rank with probability 1 too. Finally, the applications of the numerical matrix are given.

论文关键词：Random matrix,Defective rank,Numerical rank,Condition number

论文评审过程：Available online 1 September 2006.

论文官网地址：https://doi.org/10.1016/j.amc.2006.07.076