MathDB

A1

Part of 1951 Putnam

Problems(1)

Putnam 1951 A1

Source:

5/25/2022
Show that the determinant: ∣0abc−a0de−b−d0f−c−e−f0∣ \begin{vmatrix} 0 & a & b & c \\ -a & 0 & d & e \\ -b & -d & 0 & f \\ -c & -e & -f & 0 \end{vmatrix} is non-negative, if its elements a,b,c,a, b, c, etc., are real.
Putnam