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Putnam 1952 B3

  • Session B
  1. Develop necessary and sufficient conditions that the equation ∣0a1−xa2−x−a1−x0a3−x−a2−x−a3−x0∣=0(ai≠0)\left|\begin{array}{ccc} 0 & a_{1}-x & a_{2}-x \\ -a_{1}-x & 0 & a_{3}-x \\ -a_{2}-x & -a_{3}-x & 0 \end{array}\right|=0 \left(a_{i} \neq 0\right) shall have a multiple root.

Dataset text PutnamGAP. Quoted with source.

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