학과 세미나 및 콜로퀴엄

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편미분방정식 통합연구실 세미나

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Problem of the week

Count the number of distinct matrices \( A \), where two matrices are considered identical if one can be obtained from the other by rearranging rows and columns, that have the following properties:

  1. \( A \) is a \( 7 \times 7 \) matrix.
  2. Each row of \( A\) contains exactly 3 non-zero entries.
  3. For any two distinct rows \( i\) and \( j\) of \( A\), there exists exactly one column \( k \) such that \( A_{ik} \neq 0 \) and \( A_{jk} \neq 0 \).

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