MathDB
Putnam 1959 B4

Source: Putnam 1959

June 16, 2022
Putnamlinear algebramatrixmaximum

Problem Statement

Given the following matrix (11172519162410131531251421823418226207219),\begin{pmatrix} 11& 17 & 25& 19& 16\\ 24 &10 &13 & 15&3\\ 12 &5 &14& 2&18\\ 23 &4 &1 &8 &22 \\ 6&20&7 &21&9 \end{pmatrix}, choose five of these elements, no two from the same row or column, in such a way that the minimum of these elements is as large as possible.