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Putnam 1951 A1

  • Session A
  1. Show that the determinant: ∣0abc−a0de−b−d0f−c−e−f0∣\left|\begin{array}{rrrr} 0 & a & b & c \\ -a & 0 & d & e \\ -b & -d & 0 & f \\ -c & -e & -f & 0 \end{array}\right| is non-negative, if its elements a,b,ca, b, c, etc., are real.

Dataset text PutnamGAP. Quoted with source.

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