Tag Archives: conference matrix

A matrix problem

Posted on 19/08/2011 by Peter Cameron

Suppose you are given n linearly independent vectors in n-dimensional Euclidean space. You move the vectors so that each vector becomes longer, but their inner products remain the same. What happens to the volume of the parallelepiped they span? This … Continue reading →

Posted in open problems | Tagged , , , , , , , | 7 Comments

Team games, 3

Posted on 18/04/2011 by Peter Cameron

Recall the general problem: Given n players, arrange a series of matches, each between two teams of k players, in such a way that every pair of players are on the same team in s matches and on opposite teams … Continue reading →

Posted in exposition | Tagged , | 2 Comments