以下为句子列表：
英文: The generalized inverse of partitioned matrices and the expression of generalized inverse using maximal nonsingular submatrix are discussed.
中文: 摘要讨论了分块矩阵的广义逆，以及用矩阵的满秩子块表示广义逆。
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英文: The relationship between the rank of partitioned matrix and the one of submatrix is given with the partitioned matrix of the generalized inverse matrix, and the range of the rank of three matrices sum is obtained.
中文: 摘要用分块矩阵的广义逆矩阵给出了分块矩阵的秩与子块秩的关系，及三个矩阵和的秩的范围。
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