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Abstract
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The inequality of matrix rank is the key part of matrix rank, which is closely related to linear space and linear equations In this paper, we generalize and prove the rank inequality of block matrix, which has four directions, including the foundation of the rank of block matrix; Simple rank inequality of block matrix; The common rank inequalities of matrices include the derivation of
Frobenius
inequality and Sylvester inequality under block matrix; Some inequalities of rank
分块矩阵的秩不等式-3477字.docx