Let A be a numerical k ×∞-matrix such that minors A _I of order k tend to zero if numbers of all columns forming these minors tend to infinity. It is shown that there exits a nontrivial linear combination of rows in A which is a sequence tending to zero.

中文翻译：

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渐近秩定理

设 A 为数字 k ×∞矩阵，使得如果形成这些次镜的所有列的数量趋于无穷大，则 k 阶的次 镜 A _I 趋于零。结果表明，存在 A 中行的非平凡线性组合，该组合 是趋于零的序列。