MathDB

84

Part of 1991 Arnold's Trivium

Problems(1)

Problem 84

Source:

7/1/2010
Find the number of positive and negative squares in the canonical form of the quadratic form ∑i<j(xi−xj)2\sum_{i<j}(x_i-x_j)^2 in nn variables. The same for the form ∑i<jxixj\sum_{i<j}x_i x_j.
quadraticsinductionvectorcomplex numbers