NL-NWO 1999 Problem 4
Consider a matrix of size , containing positive integers only. One may repeatedly transform the entries of the matrix according to the following rules:
-Multiply all entries in some row by 2. -Subtract 1 from all entries in some column.
Prove that one can transform the given matrix into the zero matrix.
Dataset text AI-MO AoPS. Quoted with source.
Solutions
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