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arxiv: 0908.0042 · v1 · submitted 2009-08-01 · 🧮 math.CO

A Combinatorial Result on Block Matrices

classification 🧮 math.CO
keywords certaincolumnsnumberpartitionrowsblockcolumncombinatorial
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Given a matrix with partitions of its rows and columns and entries from a field, we give the necessary and sufficient conditions that it has a non--singular submatrix with certain number of rows from each row partition and certain number of columns from each column partition.

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