\title	{Min rank A^2}
\author	{XIAO Gang}
\email	{xiao@unice.fr}
\format	{html}

\integer{dimA=random(12..20)}
\integer{kern=random(2..\dimA/2-1)}
\integer{rank=\dimA-\kern}
\integer{rank2=\dimA-\kern*2}

\statement{Let A be a matrix \dimA&times;\dimA, of rank \rank.
 What is the minimum of the rank of the matrix A<sup>2</sup>&nbsp;?}
\answer	{min(rank)}  {\rank2}

