MathDB

Nicolae Coculescu 2007

Source:

February 24, 2008

linear algebralinear algebra unsolved

Problem Statement

Let

n\in{N^*}

n\ge{3}

and

a_1,a_2,...,a_n\in{R^*}

, so that

|a_i|\neq{|a_j|}

, for every

i,j\in{\{1,2,...,n\}}, i\neq{j}

. Find

p\in{S_n}

with the property: a_ia_j < \equal{} a_{p(i)}a_{p(j)}, for every

i,j\in{\{1,2,....n\}}

i\neq{j}

(Teodor Radu)