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A sign pattern with all diagonal entries nonzero whose minimal rank realizations are not diagonalizable over ℂ
Discrete Mathematics ( IF 0.7 ) Pub Date : 2021-01-01 , DOI: 10.1016/j.disc.2020.112166
Yaroslav Shitov

Abstract The rank of the 9 × 9 matrix Download : Download high-res image (50KB) Download : Download full-size image is 6. If we replace the ones by arbitrary non-zero numbers, we get a matrix B with rank B ⩾ 6 , and if rank B = 6 , the 6 × 6 principal minors of B vanish.

中文翻译:

具有所有对角线项非零的符号模式,其最小秩实现在 ℂ 上不可对角化

摘要 9 × 9 矩阵的秩 下载:下载高分辨率图像 (50KB) 下载:下载全尺寸图像是 6。如果我们用任意的非零数替换那些,我们得到一个矩阵 B,其秩为 B ⩾ 6 ,如果等级 B = 6 ,B 的 6 × 6 主要未成年人消失。
更新日期:2021-01-01
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