MathDB
Problem 84

Source:

July 1, 2010
quadraticsinductionvectorcomplex numbers

Problem Statement

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.
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